Question 24218: One Convolution Degree Is Not the Whole Exponential Addition Proof

Original question and givens

Use the whole real series E(x)=sum over n≥0 of x^n/n!, with power-series coefficients1/n!. A finite sum is a separate object; whole-series identities require the declared convergence and rearrangement obligations. Use x=18/19, y=-19/20, declared degree=17. Give (x, y, degree, coefficient_terms, convolution_coefficient, sum_argument_coefficient, equal, certificate).

• G001 — Use the whole real series E(x)=sum over n≥0 of x^n/n!, with power-series coefficients1/n!. A finite sum is a separate object; whole-series identities require the declared convergence and rearrangement obligations. Use x=18/19, y=-19/20, declared degree=17. Give (x, y, degree, coefficient_terms, convolution_coefficient, sum_argument_coefficient, equal, certificate).

Definition and scope

Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.

• mko-real-exponential-function

Step-by-step derivation

source roles = [exp-addition-convolution]

derived = [[x, y, degree, coefficient_terms, convolution_coefficient, sum_argument_coefficient, equal, certificate]]

(18/19)^0

Exp convolution x power0 = 1

(-19/20)^17

Exp convolution y power17 = -5480386857784802185939/13107200000000000000000

Exp convolution numerator0 := mul(1, -5480386857784802185939/13107200000000000000000)

Exp convolution numerator0 = -5480386857784802185939/13107200000000000000000

source roles = [0]

derived = [1]

Exp convolution right0 factorial step1 := mul(1, 1)

Exp convolution right0 factorial step1 = 1

Exp convolution right0 factorial step2 := mul(1, 2)

Exp convolution right0 factorial step2 = 2

Exp convolution right0 factorial step3 := mul(2, 3)

Exp convolution right0 factorial step3 = 6

Exp convolution right0 factorial step4 := mul(6, 4)

Exp convolution right0 factorial step4 = 24

Exp convolution right0 factorial step5 := mul(24, 5)

Exp convolution right0 factorial step5 = 120

Exp convolution right0 factorial step6 := mul(120, 6)

Exp convolution right0 factorial step6 = 720

Exp convolution right0 factorial step7 := mul(720, 7)

Exp convolution right0 factorial step7 = 5040

Exp convolution right0 factorial step8 := mul(5040, 8)

Exp convolution right0 factorial step8 = 40320

Exp convolution right0 factorial step9 := mul(40320, 9)

Exp convolution right0 factorial step9 = 362880

Exp convolution right0 factorial step10 := mul(362880, 10)

Exp convolution right0 factorial step10 = 3628800

Exp convolution right0 factorial step11 := mul(3628800, 11)

Exp convolution right0 factorial step11 = 39916800

Exp convolution right0 factorial step12 := mul(39916800, 12)

Exp convolution right0 factorial step12 = 479001600

Exp convolution right0 factorial step13 := mul(479001600, 13)

Exp convolution right0 factorial step13 = 6227020800

Exp convolution right0 factorial step14 := mul(6227020800, 14)

Exp convolution right0 factorial step14 = 87178291200

Exp convolution right0 factorial step15 := mul(87178291200, 15)

Exp convolution right0 factorial step15 = 1307674368000

Exp convolution right0 factorial step16 := mul(1307674368000, 16)

Exp convolution right0 factorial step16 = 20922789888000

Exp convolution right0 factorial step17 := mul(20922789888000, 17)

Exp convolution right0 factorial step17 = 355687428096000

Exp convolution denominator0 := mul(1, 355687428096000)

Exp convolution denominator0 = 355687428096000

Exp convolution coefficient term0 := div(-5480386857784802185939/13107200000000000000000, 355687428096000)

Exp convolution coefficient term0 = -5480386857784802185939/4662066257539891200000000000000000000

(18/19)^1

Exp convolution x power1 = 18/19

(-19/20)^16

Exp convolution y power16 = 288441413567621167681/655360000000000000000

Exp convolution numerator1 := mul(18/19, 288441413567621167681/655360000000000000000)

Exp convolution numerator1 = 136630143268873184691/327680000000000000000

Exp convolution left1 factorial step1 := mul(1, 1)

Exp convolution left1 factorial step1 = 1

Exp convolution right1 factorial step1 := mul(1, 1)

Exp convolution right1 factorial step1 = 1

Exp convolution right1 factorial step2 := mul(1, 2)

Exp convolution right1 factorial step2 = 2

Exp convolution right1 factorial step3 := mul(2, 3)

Exp convolution right1 factorial step3 = 6

Exp convolution right1 factorial step4 := mul(6, 4)

Exp convolution right1 factorial step4 = 24

Exp convolution right1 factorial step5 := mul(24, 5)

Exp convolution right1 factorial step5 = 120

Exp convolution right1 factorial step6 := mul(120, 6)

Exp convolution right1 factorial step6 = 720

Exp convolution right1 factorial step7 := mul(720, 7)

Exp convolution right1 factorial step7 = 5040

Exp convolution right1 factorial step8 := mul(5040, 8)

Exp convolution right1 factorial step8 = 40320

Exp convolution right1 factorial step9 := mul(40320, 9)

Exp convolution right1 factorial step9 = 362880

Exp convolution right1 factorial step10 := mul(362880, 10)

Exp convolution right1 factorial step10 = 3628800

Exp convolution right1 factorial step11 := mul(3628800, 11)

Exp convolution right1 factorial step11 = 39916800

Exp convolution right1 factorial step12 := mul(39916800, 12)

Exp convolution right1 factorial step12 = 479001600

Exp convolution right1 factorial step13 := mul(479001600, 13)

Exp convolution right1 factorial step13 = 6227020800

Exp convolution right1 factorial step14 := mul(6227020800, 14)

Exp convolution right1 factorial step14 = 87178291200

Exp convolution right1 factorial step15 := mul(87178291200, 15)

Exp convolution right1 factorial step15 = 1307674368000

Exp convolution right1 factorial step16 := mul(1307674368000, 16)

Exp convolution right1 factorial step16 = 20922789888000

Exp convolution denominator1 := mul(1, 20922789888000)

Exp convolution denominator1 = 20922789888000

Exp convolution coefficient term1 := div(136630143268873184691/327680000000000000000, 20922789888000)

Exp convolution coefficient term1 = 15181127029874798299/761775532277760000000000000000000

(18/19)^2

Exp convolution x power2 = 324/361

(-19/20)^15

Exp convolution y power15 = -15181127029874798299/32768000000000000000

Exp convolution numerator2 := mul(324/361, -15181127029874798299/32768000000000000000)

Exp convolution numerator2 = -3406291660442821779/8192000000000000000

Exp convolution left2 factorial step1 := mul(1, 1)

Exp convolution left2 factorial step1 = 1

Exp convolution left2 factorial step2 := mul(1, 2)

Exp convolution left2 factorial step2 = 2

Exp convolution right2 factorial step1 := mul(1, 1)

Exp convolution right2 factorial step1 = 1

Exp convolution right2 factorial step2 := mul(1, 2)

Exp convolution right2 factorial step2 = 2

Exp convolution right2 factorial step3 := mul(2, 3)

Exp convolution right2 factorial step3 = 6

Exp convolution right2 factorial step4 := mul(6, 4)

Exp convolution right2 factorial step4 = 24

Exp convolution right2 factorial step5 := mul(24, 5)

Exp convolution right2 factorial step5 = 120

Exp convolution right2 factorial step6 := mul(120, 6)

Exp convolution right2 factorial step6 = 720

Exp convolution right2 factorial step7 := mul(720, 7)

Exp convolution right2 factorial step7 = 5040

Exp convolution right2 factorial step8 := mul(5040, 8)

Exp convolution right2 factorial step8 = 40320

Exp convolution right2 factorial step9 := mul(40320, 9)

Exp convolution right2 factorial step9 = 362880

Exp convolution right2 factorial step10 := mul(362880, 10)

Exp convolution right2 factorial step10 = 3628800

Exp convolution right2 factorial step11 := mul(3628800, 11)

Exp convolution right2 factorial step11 = 39916800

Exp convolution right2 factorial step12 := mul(39916800, 12)

Exp convolution right2 factorial step12 = 479001600

Exp convolution right2 factorial step13 := mul(479001600, 13)

Exp convolution right2 factorial step13 = 6227020800

Exp convolution right2 factorial step14 := mul(6227020800, 14)

Exp convolution right2 factorial step14 = 87178291200

Exp convolution right2 factorial step15 := mul(87178291200, 15)

Exp convolution right2 factorial step15 = 1307674368000

Exp convolution denominator2 := mul(2, 1307674368000)

Exp convolution denominator2 = 2615348736000

Exp convolution coefficient term2 := div(-3406291660442821779/8192000000000000000, 2615348736000)

Exp convolution coefficient term2 = -42052983462257059/264505393152000000000000000000

(18/19)^3

Exp convolution x power3 = 5832/6859

(-19/20)^14

Exp convolution y power14 = 799006685782884121/1638400000000000000

Exp convolution numerator3 := mul(5832/6859, 799006685782884121/1638400000000000000)

Exp convolution numerator3 = 84921398736801651/204800000000000000

Exp convolution left3 factorial step1 := mul(1, 1)

Exp convolution left3 factorial step1 = 1

Exp convolution left3 factorial step2 := mul(1, 2)

Exp convolution left3 factorial step2 = 2

Exp convolution left3 factorial step3 := mul(2, 3)

Exp convolution left3 factorial step3 = 6

Exp convolution right3 factorial step1 := mul(1, 1)

Exp convolution right3 factorial step1 = 1

Exp convolution right3 factorial step2 := mul(1, 2)

Exp convolution right3 factorial step2 = 2

Exp convolution right3 factorial step3 := mul(2, 3)

Exp convolution right3 factorial step3 = 6

Exp convolution right3 factorial step4 := mul(6, 4)

Exp convolution right3 factorial step4 = 24

Exp convolution right3 factorial step5 := mul(24, 5)

Exp convolution right3 factorial step5 = 120

Exp convolution right3 factorial step6 := mul(120, 6)

Exp convolution right3 factorial step6 = 720

Exp convolution right3 factorial step7 := mul(720, 7)

Exp convolution right3 factorial step7 = 5040

Exp convolution right3 factorial step8 := mul(5040, 8)

Exp convolution right3 factorial step8 = 40320

Exp convolution right3 factorial step9 := mul(40320, 9)

Exp convolution right3 factorial step9 = 362880

Exp convolution right3 factorial step10 := mul(362880, 10)

Exp convolution right3 factorial step10 = 3628800

Exp convolution right3 factorial step11 := mul(3628800, 11)

Exp convolution right3 factorial step11 = 39916800

Exp convolution right3 factorial step12 := mul(39916800, 12)

Exp convolution right3 factorial step12 = 479001600

Exp convolution right3 factorial step13 := mul(479001600, 13)

Exp convolution right3 factorial step13 = 6227020800

Exp convolution right3 factorial step14 := mul(6227020800, 14)

Exp convolution right3 factorial step14 = 87178291200

Exp convolution denominator3 := mul(6, 87178291200)

Exp convolution denominator3 = 523069747200

Exp convolution coefficient term3 := div(84921398736801651/204800000000000000, 523069747200)

Exp convolution coefficient term3 = 116490258898219/146947440640000000000000000

(18/19)^4

Exp convolution x power4 = 104976/130321

(-19/20)^13

Exp convolution y power13 = -42052983462257059/81920000000000000

Exp convolution numerator4 := mul(104976/130321, -42052983462257059/81920000000000000)

Exp convolution numerator4 = -2117153985128019/5120000000000000

Exp convolution left4 factorial step1 := mul(1, 1)

Exp convolution left4 factorial step1 = 1

Exp convolution left4 factorial step2 := mul(1, 2)

Exp convolution left4 factorial step2 = 2

Exp convolution left4 factorial step3 := mul(2, 3)

Exp convolution left4 factorial step3 = 6

Exp convolution left4 factorial step4 := mul(6, 4)

Exp convolution left4 factorial step4 = 24

Exp convolution right4 factorial step1 := mul(1, 1)

Exp convolution right4 factorial step1 = 1

Exp convolution right4 factorial step2 := mul(1, 2)

Exp convolution right4 factorial step2 = 2

Exp convolution right4 factorial step3 := mul(2, 3)

Exp convolution right4 factorial step3 = 6

Exp convolution right4 factorial step4 := mul(6, 4)

Exp convolution right4 factorial step4 = 24

Exp convolution right4 factorial step5 := mul(24, 5)

Exp convolution right4 factorial step5 = 120

Exp convolution right4 factorial step6 := mul(120, 6)

Exp convolution right4 factorial step6 = 720

Exp convolution right4 factorial step7 := mul(720, 7)

Exp convolution right4 factorial step7 = 5040

Exp convolution right4 factorial step8 := mul(5040, 8)

Exp convolution right4 factorial step8 = 40320

Exp convolution right4 factorial step9 := mul(40320, 9)

Exp convolution right4 factorial step9 = 362880

Exp convolution right4 factorial step10 := mul(362880, 10)

Exp convolution right4 factorial step10 = 3628800

Exp convolution right4 factorial step11 := mul(3628800, 11)

Exp convolution right4 factorial step11 = 39916800

Exp convolution right4 factorial step12 := mul(39916800, 12)

Exp convolution right4 factorial step12 = 479001600

Exp convolution right4 factorial step13 := mul(479001600, 13)

Exp convolution right4 factorial step13 = 6227020800

Exp convolution denominator4 := mul(24, 6227020800)

Exp convolution denominator4 = 149448499200

Exp convolution coefficient term4 := div(-2117153985128019/5120000000000000, 149448499200)

Exp convolution coefficient term4 = -2904189280011/1049624576000000000000000

(18/19)^5

Exp convolution x power5 = 1889568/2476099

(-19/20)^12

Exp convolution y power12 = 2213314919066161/4096000000000000

Exp convolution numerator5 := mul(1889568/2476099, 2213314919066161/4096000000000000)

Exp convolution numerator5 = 52782232316211/128000000000000

Exp convolution left5 factorial step1 := mul(1, 1)

Exp convolution left5 factorial step1 = 1

Exp convolution left5 factorial step2 := mul(1, 2)

Exp convolution left5 factorial step2 = 2

Exp convolution left5 factorial step3 := mul(2, 3)

Exp convolution left5 factorial step3 = 6

Exp convolution left5 factorial step4 := mul(6, 4)

Exp convolution left5 factorial step4 = 24

Exp convolution left5 factorial step5 := mul(24, 5)

Exp convolution left5 factorial step5 = 120

Exp convolution right5 factorial step1 := mul(1, 1)

Exp convolution right5 factorial step1 = 1

Exp convolution right5 factorial step2 := mul(1, 2)

Exp convolution right5 factorial step2 = 2

Exp convolution right5 factorial step3 := mul(2, 3)

Exp convolution right5 factorial step3 = 6

Exp convolution right5 factorial step4 := mul(6, 4)

Exp convolution right5 factorial step4 = 24

Exp convolution right5 factorial step5 := mul(24, 5)

Exp convolution right5 factorial step5 = 120

Exp convolution right5 factorial step6 := mul(120, 6)

Exp convolution right5 factorial step6 = 720

Exp convolution right5 factorial step7 := mul(720, 7)

Exp convolution right5 factorial step7 = 5040

Exp convolution right5 factorial step8 := mul(5040, 8)

Exp convolution right5 factorial step8 = 40320

Exp convolution right5 factorial step9 := mul(40320, 9)

Exp convolution right5 factorial step9 = 362880

Exp convolution right5 factorial step10 := mul(362880, 10)

Exp convolution right5 factorial step10 = 3628800

Exp convolution right5 factorial step11 := mul(3628800, 11)

Exp convolution right5 factorial step11 = 39916800

Exp convolution right5 factorial step12 := mul(39916800, 12)

Exp convolution right5 factorial step12 = 479001600

Exp convolution denominator5 := mul(120, 479001600)

Exp convolution denominator5 = 57480192000

Exp convolution coefficient term5 := div(52782232316211/128000000000000, 57480192000)

Exp convolution coefficient term5 = 72403610859/10092544000000000000000

(18/19)^6

Exp convolution x power6 = 34012224/47045881

(-19/20)^11

Exp convolution y power11 = -116490258898219/204800000000000

Exp convolution numerator6 := mul(34012224/47045881, -116490258898219/204800000000000)

Exp convolution numerator6 = -1315900528659/3200000000000

Exp convolution left6 factorial step1 := mul(1, 1)

Exp convolution left6 factorial step1 = 1

Exp convolution left6 factorial step2 := mul(1, 2)

Exp convolution left6 factorial step2 = 2

Exp convolution left6 factorial step3 := mul(2, 3)

Exp convolution left6 factorial step3 = 6

Exp convolution left6 factorial step4 := mul(6, 4)

Exp convolution left6 factorial step4 = 24

Exp convolution left6 factorial step5 := mul(24, 5)

Exp convolution left6 factorial step5 = 120

Exp convolution left6 factorial step6 := mul(120, 6)

Exp convolution left6 factorial step6 = 720

Exp convolution right6 factorial step1 := mul(1, 1)

Exp convolution right6 factorial step1 = 1

Exp convolution right6 factorial step2 := mul(1, 2)

Exp convolution right6 factorial step2 = 2

Exp convolution right6 factorial step3 := mul(2, 3)

Exp convolution right6 factorial step3 = 6

Exp convolution right6 factorial step4 := mul(6, 4)

Exp convolution right6 factorial step4 = 24

Exp convolution right6 factorial step5 := mul(24, 5)

Exp convolution right6 factorial step5 = 120

Exp convolution right6 factorial step6 := mul(120, 6)

Exp convolution right6 factorial step6 = 720

Exp convolution right6 factorial step7 := mul(720, 7)

Exp convolution right6 factorial step7 = 5040

Exp convolution right6 factorial step8 := mul(5040, 8)

Exp convolution right6 factorial step8 = 40320

Exp convolution right6 factorial step9 := mul(40320, 9)

Exp convolution right6 factorial step9 = 362880

Exp convolution right6 factorial step10 := mul(362880, 10)

Exp convolution right6 factorial step10 = 3628800

Exp convolution right6 factorial step11 := mul(3628800, 11)

Exp convolution right6 factorial step11 = 39916800

Exp convolution denominator6 := mul(720, 39916800)

Exp convolution denominator6 = 28740096000

Exp convolution coefficient term6 := div(-1315900528659/3200000000000, 28740096000)

Exp convolution coefficient term6 = -1805076171/126156800000000000000

(18/19)^7

Exp convolution x power7 = 612220032/893871739

(-19/20)^10

Exp convolution y power10 = 6131066257801/10240000000000

Exp convolution numerator7 := mul(612220032/893871739, 6131066257801/10240000000000)

Exp convolution numerator7 = 32806384371/80000000000

Exp convolution left7 factorial step1 := mul(1, 1)

Exp convolution left7 factorial step1 = 1

Exp convolution left7 factorial step2 := mul(1, 2)

Exp convolution left7 factorial step2 = 2

Exp convolution left7 factorial step3 := mul(2, 3)

Exp convolution left7 factorial step3 = 6

Exp convolution left7 factorial step4 := mul(6, 4)

Exp convolution left7 factorial step4 = 24

Exp convolution left7 factorial step5 := mul(24, 5)

Exp convolution left7 factorial step5 = 120

Exp convolution left7 factorial step6 := mul(120, 6)

Exp convolution left7 factorial step6 = 720

Exp convolution left7 factorial step7 := mul(720, 7)

Exp convolution left7 factorial step7 = 5040

Exp convolution right7 factorial step1 := mul(1, 1)

Exp convolution right7 factorial step1 = 1

Exp convolution right7 factorial step2 := mul(1, 2)

Exp convolution right7 factorial step2 = 2

Exp convolution right7 factorial step3 := mul(2, 3)

Exp convolution right7 factorial step3 = 6

Exp convolution right7 factorial step4 := mul(6, 4)

Exp convolution right7 factorial step4 = 24

Exp convolution right7 factorial step5 := mul(24, 5)

Exp convolution right7 factorial step5 = 120

Exp convolution right7 factorial step6 := mul(120, 6)

Exp convolution right7 factorial step6 = 720

Exp convolution right7 factorial step7 := mul(720, 7)

Exp convolution right7 factorial step7 = 5040

Exp convolution right7 factorial step8 := mul(5040, 8)

Exp convolution right7 factorial step8 = 40320

Exp convolution right7 factorial step9 := mul(40320, 9)

Exp convolution right7 factorial step9 = 362880

Exp convolution right7 factorial step10 := mul(362880, 10)

Exp convolution right7 factorial step10 = 3628800

Exp convolution denominator7 := mul(5040, 3628800)

Exp convolution denominator7 = 18289152000

Exp convolution coefficient term7 := div(32806384371/80000000000, 18289152000)

Exp convolution coefficient term7 = 45001899/2007040000000000000

(18/19)^8

Exp convolution x power8 = 11019960576/16983563041

(-19/20)^9

Exp convolution y power9 = -322687697779/512000000000

Exp convolution numerator8 := mul(11019960576/16983563041, -322687697779/512000000000)

Exp convolution numerator8 = -817887699/2000000000

Exp convolution left8 factorial step1 := mul(1, 1)

Exp convolution left8 factorial step1 = 1

Exp convolution left8 factorial step2 := mul(1, 2)

Exp convolution left8 factorial step2 = 2

Exp convolution left8 factorial step3 := mul(2, 3)

Exp convolution left8 factorial step3 = 6

Exp convolution left8 factorial step4 := mul(6, 4)

Exp convolution left8 factorial step4 = 24

Exp convolution left8 factorial step5 := mul(24, 5)

Exp convolution left8 factorial step5 = 120

Exp convolution left8 factorial step6 := mul(120, 6)

Exp convolution left8 factorial step6 = 720

Exp convolution left8 factorial step7 := mul(720, 7)

Exp convolution left8 factorial step7 = 5040

Exp convolution left8 factorial step8 := mul(5040, 8)

Exp convolution left8 factorial step8 = 40320

Exp convolution right8 factorial step1 := mul(1, 1)

Exp convolution right8 factorial step1 = 1

Exp convolution right8 factorial step2 := mul(1, 2)

Exp convolution right8 factorial step2 = 2

Exp convolution right8 factorial step3 := mul(2, 3)

Exp convolution right8 factorial step3 = 6

Exp convolution right8 factorial step4 := mul(6, 4)

Exp convolution right8 factorial step4 = 24

Exp convolution right8 factorial step5 := mul(24, 5)

Exp convolution right8 factorial step5 = 120

Exp convolution right8 factorial step6 := mul(120, 6)

Exp convolution right8 factorial step6 = 720

Exp convolution right8 factorial step7 := mul(720, 7)

Exp convolution right8 factorial step7 = 5040

Exp convolution right8 factorial step8 := mul(5040, 8)

Exp convolution right8 factorial step8 = 40320

Exp convolution right8 factorial step9 := mul(40320, 9)

Exp convolution right8 factorial step9 = 362880

Exp convolution denominator8 := mul(40320, 362880)

Exp convolution denominator8 = 14631321600

Exp convolution coefficient term8 := div(-817887699/2000000000, 14631321600)

Exp convolution coefficient term8 = -1121931/40140800000000000

(18/19)^9

Exp convolution x power9 = 198359290368/322687697779

(-19/20)^8

Exp convolution y power8 = 16983563041/25600000000

Exp convolution numerator9 := mul(198359290368/322687697779, 16983563041/25600000000)

Exp convolution numerator9 = 387420489/950000000

Exp convolution left9 factorial step1 := mul(1, 1)

Exp convolution left9 factorial step1 = 1

Exp convolution left9 factorial step2 := mul(1, 2)

Exp convolution left9 factorial step2 = 2

Exp convolution left9 factorial step3 := mul(2, 3)

Exp convolution left9 factorial step3 = 6

Exp convolution left9 factorial step4 := mul(6, 4)

Exp convolution left9 factorial step4 = 24

Exp convolution left9 factorial step5 := mul(24, 5)

Exp convolution left9 factorial step5 = 120

Exp convolution left9 factorial step6 := mul(120, 6)

Exp convolution left9 factorial step6 = 720

Exp convolution left9 factorial step7 := mul(720, 7)

Exp convolution left9 factorial step7 = 5040

Exp convolution left9 factorial step8 := mul(5040, 8)

Exp convolution left9 factorial step8 = 40320

Exp convolution left9 factorial step9 := mul(40320, 9)

Exp convolution left9 factorial step9 = 362880

Exp convolution right9 factorial step1 := mul(1, 1)

Exp convolution right9 factorial step1 = 1

Exp convolution right9 factorial step2 := mul(1, 2)

Exp convolution right9 factorial step2 = 2

Exp convolution right9 factorial step3 := mul(2, 3)

Exp convolution right9 factorial step3 = 6

Exp convolution right9 factorial step4 := mul(6, 4)

Exp convolution right9 factorial step4 = 24

Exp convolution right9 factorial step5 := mul(24, 5)

Exp convolution right9 factorial step5 = 120

Exp convolution right9 factorial step6 := mul(120, 6)

Exp convolution right9 factorial step6 = 720

Exp convolution right9 factorial step7 := mul(720, 7)

Exp convolution right9 factorial step7 = 5040

Exp convolution right9 factorial step8 := mul(5040, 8)

Exp convolution right9 factorial step8 = 40320

Exp convolution denominator9 := mul(362880, 40320)

Exp convolution denominator9 = 14631321600

Exp convolution coefficient term9 := div(387420489/950000000, 14631321600)

Exp convolution coefficient term9 = 531441/19066880000000000

(18/19)^10

Exp convolution x power10 = 3570467226624/6131066257801

(-19/20)^7

Exp convolution y power7 = -893871739/1280000000

Exp convolution numerator10 := mul(3570467226624/6131066257801, -893871739/1280000000)

Exp convolution numerator10 = -3486784401/8573750000

Exp convolution left10 factorial step1 := mul(1, 1)

Exp convolution left10 factorial step1 = 1

Exp convolution left10 factorial step2 := mul(1, 2)

Exp convolution left10 factorial step2 = 2

Exp convolution left10 factorial step3 := mul(2, 3)

Exp convolution left10 factorial step3 = 6

Exp convolution left10 factorial step4 := mul(6, 4)

Exp convolution left10 factorial step4 = 24

Exp convolution left10 factorial step5 := mul(24, 5)

Exp convolution left10 factorial step5 = 120

Exp convolution left10 factorial step6 := mul(120, 6)

Exp convolution left10 factorial step6 = 720

Exp convolution left10 factorial step7 := mul(720, 7)

Exp convolution left10 factorial step7 = 5040

Exp convolution left10 factorial step8 := mul(5040, 8)

Exp convolution left10 factorial step8 = 40320

Exp convolution left10 factorial step9 := mul(40320, 9)

Exp convolution left10 factorial step9 = 362880

Exp convolution left10 factorial step10 := mul(362880, 10)

Exp convolution left10 factorial step10 = 3628800

Exp convolution right10 factorial step1 := mul(1, 1)

Exp convolution right10 factorial step1 = 1

Exp convolution right10 factorial step2 := mul(1, 2)

Exp convolution right10 factorial step2 = 2

Exp convolution right10 factorial step3 := mul(2, 3)

Exp convolution right10 factorial step3 = 6

Exp convolution right10 factorial step4 := mul(6, 4)

Exp convolution right10 factorial step4 = 24

Exp convolution right10 factorial step5 := mul(24, 5)

Exp convolution right10 factorial step5 = 120

Exp convolution right10 factorial step6 := mul(120, 6)

Exp convolution right10 factorial step6 = 720

Exp convolution right10 factorial step7 := mul(720, 7)

Exp convolution right10 factorial step7 = 5040

Exp convolution denominator10 := mul(3628800, 5040)

Exp convolution denominator10 = 18289152000

Exp convolution coefficient term10 := div(-3486784401/8573750000, 18289152000)

Exp convolution coefficient term10 = -4782969/215098240000000000

(18/19)^11

Exp convolution x power11 = 64268410079232/116490258898219

(-19/20)^6

Exp convolution y power6 = 47045881/64000000

Exp convolution numerator11 := mul(64268410079232/116490258898219, 47045881/64000000)

Exp convolution numerator11 = 31381059609/77378093750

Exp convolution left11 factorial step1 := mul(1, 1)

Exp convolution left11 factorial step1 = 1

Exp convolution left11 factorial step2 := mul(1, 2)

Exp convolution left11 factorial step2 = 2

Exp convolution left11 factorial step3 := mul(2, 3)

Exp convolution left11 factorial step3 = 6

Exp convolution left11 factorial step4 := mul(6, 4)

Exp convolution left11 factorial step4 = 24

Exp convolution left11 factorial step5 := mul(24, 5)

Exp convolution left11 factorial step5 = 120

Exp convolution left11 factorial step6 := mul(120, 6)

Exp convolution left11 factorial step6 = 720

Exp convolution left11 factorial step7 := mul(720, 7)

Exp convolution left11 factorial step7 = 5040

Exp convolution left11 factorial step8 := mul(5040, 8)

Exp convolution left11 factorial step8 = 40320

Exp convolution left11 factorial step9 := mul(40320, 9)

Exp convolution left11 factorial step9 = 362880

Exp convolution left11 factorial step10 := mul(362880, 10)

Exp convolution left11 factorial step10 = 3628800

Exp convolution left11 factorial step11 := mul(3628800, 11)

Exp convolution left11 factorial step11 = 39916800

Exp convolution right11 factorial step1 := mul(1, 1)

Exp convolution right11 factorial step1 = 1

Exp convolution right11 factorial step2 := mul(1, 2)

Exp convolution right11 factorial step2 = 2

Exp convolution right11 factorial step3 := mul(2, 3)

Exp convolution right11 factorial step3 = 6

Exp convolution right11 factorial step4 := mul(6, 4)

Exp convolution right11 factorial step4 = 24

Exp convolution right11 factorial step5 := mul(24, 5)

Exp convolution right11 factorial step5 = 120

Exp convolution right11 factorial step6 := mul(120, 6)

Exp convolution right11 factorial step6 = 720

Exp convolution denominator11 := mul(39916800, 720)

Exp convolution denominator11 = 28740096000

Exp convolution coefficient term11 := div(31381059609/77378093750, 28740096000)

Exp convolution coefficient term11 = 43046721/3050553968000000000

(18/19)^12

Exp convolution x power12 = 1156831381426176/2213314919066161

(-19/20)^5

Exp convolution y power5 = -2476099/3200000

Exp convolution numerator12 := mul(1156831381426176/2213314919066161, -2476099/3200000)

Exp convolution numerator12 = -1129718145924/2793349184375

Exp convolution left12 factorial step1 := mul(1, 1)

Exp convolution left12 factorial step1 = 1

Exp convolution left12 factorial step2 := mul(1, 2)

Exp convolution left12 factorial step2 = 2

Exp convolution left12 factorial step3 := mul(2, 3)

Exp convolution left12 factorial step3 = 6

Exp convolution left12 factorial step4 := mul(6, 4)

Exp convolution left12 factorial step4 = 24

Exp convolution left12 factorial step5 := mul(24, 5)

Exp convolution left12 factorial step5 = 120

Exp convolution left12 factorial step6 := mul(120, 6)

Exp convolution left12 factorial step6 = 720

Exp convolution left12 factorial step7 := mul(720, 7)

Exp convolution left12 factorial step7 = 5040

Exp convolution left12 factorial step8 := mul(5040, 8)

Exp convolution left12 factorial step8 = 40320

Exp convolution left12 factorial step9 := mul(40320, 9)

Exp convolution left12 factorial step9 = 362880

Exp convolution left12 factorial step10 := mul(362880, 10)

Exp convolution left12 factorial step10 = 3628800

Exp convolution left12 factorial step11 := mul(3628800, 11)

Exp convolution left12 factorial step11 = 39916800

Exp convolution left12 factorial step12 := mul(39916800, 12)

Exp convolution left12 factorial step12 = 479001600

Exp convolution right12 factorial step1 := mul(1, 1)

Exp convolution right12 factorial step1 = 1

Exp convolution right12 factorial step2 := mul(1, 2)

Exp convolution right12 factorial step2 = 2

Exp convolution right12 factorial step3 := mul(2, 3)

Exp convolution right12 factorial step3 = 6

Exp convolution right12 factorial step4 := mul(6, 4)

Exp convolution right12 factorial step4 = 24

Exp convolution right12 factorial step5 := mul(24, 5)

Exp convolution right12 factorial step5 = 120

Exp convolution denominator12 := mul(479001600, 120)

Exp convolution denominator12 = 57480192000

Exp convolution coefficient term12 := div(-1129718145924/2793349184375, 57480192000)

Exp convolution coefficient term12 = -387420489/55062499122400000000

(18/19)^13

Exp convolution x power13 = 20822964865671168/42052983462257059

(-19/20)^4

Exp convolution y power4 = 130321/160000

Exp convolution numerator13 := mul(20822964865671168/42052983462257059, 130321/160000)

Exp convolution numerator13 = 81339706506528/201679811111875

Exp convolution left13 factorial step1 := mul(1, 1)

Exp convolution left13 factorial step1 = 1

Exp convolution left13 factorial step2 := mul(1, 2)

Exp convolution left13 factorial step2 = 2

Exp convolution left13 factorial step3 := mul(2, 3)

Exp convolution left13 factorial step3 = 6

Exp convolution left13 factorial step4 := mul(6, 4)

Exp convolution left13 factorial step4 = 24

Exp convolution left13 factorial step5 := mul(24, 5)

Exp convolution left13 factorial step5 = 120

Exp convolution left13 factorial step6 := mul(120, 6)

Exp convolution left13 factorial step6 = 720

Exp convolution left13 factorial step7 := mul(720, 7)

Exp convolution left13 factorial step7 = 5040

Exp convolution left13 factorial step8 := mul(5040, 8)

Exp convolution left13 factorial step8 = 40320

Exp convolution left13 factorial step9 := mul(40320, 9)

Exp convolution left13 factorial step9 = 362880

Exp convolution left13 factorial step10 := mul(362880, 10)

Exp convolution left13 factorial step10 = 3628800

Exp convolution left13 factorial step11 := mul(3628800, 11)

Exp convolution left13 factorial step11 = 39916800

Exp convolution left13 factorial step12 := mul(39916800, 12)

Exp convolution left13 factorial step12 = 479001600

Exp convolution left13 factorial step13 := mul(479001600, 13)

Exp convolution left13 factorial step13 = 6227020800

Exp convolution right13 factorial step1 := mul(1, 1)

Exp convolution right13 factorial step1 = 1

Exp convolution right13 factorial step2 := mul(1, 2)

Exp convolution right13 factorial step2 = 2

Exp convolution right13 factorial step3 := mul(2, 3)

Exp convolution right13 factorial step3 = 6

Exp convolution right13 factorial step4 := mul(6, 4)

Exp convolution right13 factorial step4 = 24

Exp convolution denominator13 := mul(6227020800, 24)

Exp convolution denominator13 = 149448499200

Exp convolution coefficient term13 := div(81339706506528/201679811111875, 149448499200)

Exp convolution coefficient term13 = 3486784401/1292041541907116000000

(18/19)^14

Exp convolution x power14 = 374813367582081024/799006685782884121

(-19/20)^3

Exp convolution y power3 = -6859/8000

Exp convolution numerator14 := mul(374813367582081024/799006685782884121, -6859/8000)

Exp convolution numerator14 = -5856458868470016/14561282362277375

Exp convolution left14 factorial step1 := mul(1, 1)

Exp convolution left14 factorial step1 = 1

Exp convolution left14 factorial step2 := mul(1, 2)

Exp convolution left14 factorial step2 = 2

Exp convolution left14 factorial step3 := mul(2, 3)

Exp convolution left14 factorial step3 = 6

Exp convolution left14 factorial step4 := mul(6, 4)

Exp convolution left14 factorial step4 = 24

Exp convolution left14 factorial step5 := mul(24, 5)

Exp convolution left14 factorial step5 = 120

Exp convolution left14 factorial step6 := mul(120, 6)

Exp convolution left14 factorial step6 = 720

Exp convolution left14 factorial step7 := mul(720, 7)

Exp convolution left14 factorial step7 = 5040

Exp convolution left14 factorial step8 := mul(5040, 8)

Exp convolution left14 factorial step8 = 40320

Exp convolution left14 factorial step9 := mul(40320, 9)

Exp convolution left14 factorial step9 = 362880

Exp convolution left14 factorial step10 := mul(362880, 10)

Exp convolution left14 factorial step10 = 3628800

Exp convolution left14 factorial step11 := mul(3628800, 11)

Exp convolution left14 factorial step11 = 39916800

Exp convolution left14 factorial step12 := mul(39916800, 12)

Exp convolution left14 factorial step12 = 479001600

Exp convolution left14 factorial step13 := mul(479001600, 13)

Exp convolution left14 factorial step13 = 6227020800

Exp convolution left14 factorial step14 := mul(6227020800, 14)

Exp convolution left14 factorial step14 = 87178291200

Exp convolution right14 factorial step1 := mul(1, 1)

Exp convolution right14 factorial step1 = 1

Exp convolution right14 factorial step2 := mul(1, 2)

Exp convolution right14 factorial step2 = 2

Exp convolution right14 factorial step3 := mul(2, 3)

Exp convolution right14 factorial step3 = 6

Exp convolution denominator14 := mul(87178291200, 6)

Exp convolution denominator14 = 523069747200

Exp convolution coefficient term14 := div(-5856458868470016/14561282362277375, 523069747200)

Exp convolution coefficient term14 = -31381059609/40812362204991026650000

(18/19)^15

Exp convolution x power15 = 6746640616477458432/15181127029874798299

(-19/20)^2

Exp convolution y power2 = 361/400

Exp convolution numerator15 := mul(6746640616477458432/15181127029874798299, 361/400)

Exp convolution numerator15 = 421665038529841152/1051324586556426475

Exp convolution left15 factorial step1 := mul(1, 1)

Exp convolution left15 factorial step1 = 1

Exp convolution left15 factorial step2 := mul(1, 2)

Exp convolution left15 factorial step2 = 2

Exp convolution left15 factorial step3 := mul(2, 3)

Exp convolution left15 factorial step3 = 6

Exp convolution left15 factorial step4 := mul(6, 4)

Exp convolution left15 factorial step4 = 24

Exp convolution left15 factorial step5 := mul(24, 5)

Exp convolution left15 factorial step5 = 120

Exp convolution left15 factorial step6 := mul(120, 6)

Exp convolution left15 factorial step6 = 720

Exp convolution left15 factorial step7 := mul(720, 7)

Exp convolution left15 factorial step7 = 5040

Exp convolution left15 factorial step8 := mul(5040, 8)

Exp convolution left15 factorial step8 = 40320

Exp convolution left15 factorial step9 := mul(40320, 9)

Exp convolution left15 factorial step9 = 362880

Exp convolution left15 factorial step10 := mul(362880, 10)

Exp convolution left15 factorial step10 = 3628800

Exp convolution left15 factorial step11 := mul(3628800, 11)

Exp convolution left15 factorial step11 = 39916800

Exp convolution left15 factorial step12 := mul(39916800, 12)

Exp convolution left15 factorial step12 = 479001600

Exp convolution left15 factorial step13 := mul(479001600, 13)

Exp convolution left15 factorial step13 = 6227020800

Exp convolution left15 factorial step14 := mul(6227020800, 14)

Exp convolution left15 factorial step14 = 87178291200

Exp convolution left15 factorial step15 := mul(87178291200, 15)

Exp convolution left15 factorial step15 = 1307674368000

Exp convolution right15 factorial step1 := mul(1, 1)

Exp convolution right15 factorial step1 = 1

Exp convolution right15 factorial step2 := mul(1, 2)

Exp convolution right15 factorial step2 = 2

Exp convolution denominator15 := mul(1307674368000, 2)

Exp convolution denominator15 = 2615348736000

Exp convolution coefficient term15 := div(421665038529841152/1051324586556426475, 2615348736000)

Exp convolution coefficient term15 = 282429536481/1841657844500220077581250

(18/19)^16

Exp convolution x power16 = 121439531096594251776/288441413567621167681

(-19/20)^1

Exp convolution y power1 = -19/20

Exp convolution numerator16 := mul(121439531096594251776/288441413567621167681, -19/20)

Exp convolution numerator16 = -30359882774148562944/75905635149373991495

Exp convolution left16 factorial step1 := mul(1, 1)

Exp convolution left16 factorial step1 = 1

Exp convolution left16 factorial step2 := mul(1, 2)

Exp convolution left16 factorial step2 = 2

Exp convolution left16 factorial step3 := mul(2, 3)

Exp convolution left16 factorial step3 = 6

Exp convolution left16 factorial step4 := mul(6, 4)

Exp convolution left16 factorial step4 = 24

Exp convolution left16 factorial step5 := mul(24, 5)

Exp convolution left16 factorial step5 = 120

Exp convolution left16 factorial step6 := mul(120, 6)

Exp convolution left16 factorial step6 = 720

Exp convolution left16 factorial step7 := mul(720, 7)

Exp convolution left16 factorial step7 = 5040

Exp convolution left16 factorial step8 := mul(5040, 8)

Exp convolution left16 factorial step8 = 40320

Exp convolution left16 factorial step9 := mul(40320, 9)

Exp convolution left16 factorial step9 = 362880

Exp convolution left16 factorial step10 := mul(362880, 10)

Exp convolution left16 factorial step10 = 3628800

Exp convolution left16 factorial step11 := mul(3628800, 11)

Exp convolution left16 factorial step11 = 39916800

Exp convolution left16 factorial step12 := mul(39916800, 12)

Exp convolution left16 factorial step12 = 479001600

Exp convolution left16 factorial step13 := mul(479001600, 13)

Exp convolution left16 factorial step13 = 6227020800

Exp convolution left16 factorial step14 := mul(6227020800, 14)

Exp convolution left16 factorial step14 = 87178291200

Exp convolution left16 factorial step15 := mul(87178291200, 15)

Exp convolution left16 factorial step15 = 1307674368000

Exp convolution left16 factorial step16 := mul(1307674368000, 16)

Exp convolution left16 factorial step16 = 20922789888000

Exp convolution right16 factorial step1 := mul(1, 1)

Exp convolution right16 factorial step1 = 1

Exp convolution denominator16 := mul(20922789888000, 1)

Exp convolution denominator16 = 20922789888000

Exp convolution coefficient term16 := div(-30359882774148562944/75905635149373991495, 20922789888000)

Exp convolution coefficient term16 = -2541865828329/132967696372915889601366250

(18/19)^17

Exp convolution x power17 = 2185911559738696531968/5480386857784802185939

(-19/20)^0

Exp convolution y power0 = 1

Exp convolution numerator17 := mul(2185911559738696531968/5480386857784802185939, 1)

Exp convolution numerator17 = 2185911559738696531968/5480386857784802185939

Exp convolution left17 factorial step1 := mul(1, 1)

Exp convolution left17 factorial step1 = 1

Exp convolution left17 factorial step2 := mul(1, 2)

Exp convolution left17 factorial step2 = 2

Exp convolution left17 factorial step3 := mul(2, 3)

Exp convolution left17 factorial step3 = 6

Exp convolution left17 factorial step4 := mul(6, 4)

Exp convolution left17 factorial step4 = 24

Exp convolution left17 factorial step5 := mul(24, 5)

Exp convolution left17 factorial step5 = 120

Exp convolution left17 factorial step6 := mul(120, 6)

Exp convolution left17 factorial step6 = 720

Exp convolution left17 factorial step7 := mul(720, 7)

Exp convolution left17 factorial step7 = 5040

Exp convolution left17 factorial step8 := mul(5040, 8)

Exp convolution left17 factorial step8 = 40320

Exp convolution left17 factorial step9 := mul(40320, 9)

Exp convolution left17 factorial step9 = 362880

Exp convolution left17 factorial step10 := mul(362880, 10)

Exp convolution left17 factorial step10 = 3628800

Exp convolution left17 factorial step11 := mul(3628800, 11)

Exp convolution left17 factorial step11 = 39916800

Exp convolution left17 factorial step12 := mul(39916800, 12)

Exp convolution left17 factorial step12 = 479001600

Exp convolution left17 factorial step13 := mul(479001600, 13)

Exp convolution left17 factorial step13 = 6227020800

Exp convolution left17 factorial step14 := mul(6227020800, 14)

Exp convolution left17 factorial step14 = 87178291200

Exp convolution left17 factorial step15 := mul(87178291200, 15)

Exp convolution left17 factorial step15 = 1307674368000

Exp convolution left17 factorial step16 := mul(1307674368000, 16)

Exp convolution left17 factorial step16 = 20922789888000

Exp convolution left17 factorial step17 := mul(20922789888000, 17)

Exp convolution left17 factorial step17 = 355687428096000

source roles = [0]

derived = [1]

Exp convolution denominator17 := mul(355687428096000, 1)

Exp convolution denominator17 = 355687428096000

Exp convolution coefficient term17 := div(2185911559738696531968/5480386857784802185939, 355687428096000)

Exp convolution coefficient term17 = 91507169819844/81602275264058481448358467625

Exp complete declared-degree convolution := sum(-5480386857784802185939/4662066257539891200000000000000000000, 15181127029874798299/761775532277760000000000000000000, -42052983462257059/264505393152000000000000000000, 116490258898219/146947440640000000000000000, -2904189280011/1049624576000000000000000, 72403610859/10092544000000000000000, -1805076171/126156800000000000000, 45001899/2007040000000000000, -1121931/40140800000000000, 531441/19066880000000000, -4782969/215098240000000000, 43046721/3050553968000000000, -387420489/55062499122400000000, 3486784401/1292041541907116000000, -31381059609/40812362204991026650000, 282429536481/1841657844500220077581250, -2541865828329/132967696372915889601366250, 91507169819844/81602275264058481448358467625)

Exp complete declared-degree convolution = -1/25549926647943596675599717954252229836800000000000000000000

Exp ORIGINAL arguments sum := sum(18/19, -19/20)

Exp ORIGINAL arguments sum = -1/380

(-1/380)^17

Exp sum argument declared power = -1/71832526622356959211539660800000000000000000

Exp sum argument factorial step1 := mul(1, 1)

Exp sum argument factorial step1 = 1

Exp sum argument factorial step2 := mul(1, 2)

Exp sum argument factorial step2 = 2

Exp sum argument factorial step3 := mul(2, 3)

Exp sum argument factorial step3 = 6

Exp sum argument factorial step4 := mul(6, 4)

Exp sum argument factorial step4 = 24

Exp sum argument factorial step5 := mul(24, 5)

Exp sum argument factorial step5 = 120

Exp sum argument factorial step6 := mul(120, 6)

Exp sum argument factorial step6 = 720

Exp sum argument factorial step7 := mul(720, 7)

Exp sum argument factorial step7 = 5040

Exp sum argument factorial step8 := mul(5040, 8)

Exp sum argument factorial step8 = 40320

Exp sum argument factorial step9 := mul(40320, 9)

Exp sum argument factorial step9 = 362880

Exp sum argument factorial step10 := mul(362880, 10)

Exp sum argument factorial step10 = 3628800

Exp sum argument factorial step11 := mul(3628800, 11)

Exp sum argument factorial step11 = 39916800

Exp sum argument factorial step12 := mul(39916800, 12)

Exp sum argument factorial step12 = 479001600

Exp sum argument factorial step13 := mul(479001600, 13)

Exp sum argument factorial step13 = 6227020800

Exp sum argument factorial step14 := mul(6227020800, 14)

Exp sum argument factorial step14 = 87178291200

Exp sum argument factorial step15 := mul(87178291200, 15)

Exp sum argument factorial step15 = 1307674368000

Exp sum argument factorial step16 := mul(1307674368000, 16)

Exp sum argument factorial step16 = 20922789888000

Exp sum argument factorial step17 := mul(20922789888000, 17)

Exp sum argument factorial step17 = 355687428096000

Exp sum argument coefficient := div(-1/71832526622356959211539660800000000000000000, 355687428096000)

Exp sum argument coefficient = -1/25549926647943596675599717954252229836800000000000000000000

source roles = [[18/19, -19/20], a_n=1/n! for EVERY n>=0]

derived = [coefficient ratio=1/(n+1), for EVERY fixed real z,term absolute ratio=|z|/(n+1)->0, absolute convergence and real-valued E(z)]

source roles = [[18/19, -19/20, 17], E(x),E(y) absolutely convergent]

derived = [for EVERY n,sum_k x^k*y^(n-k)/(k!*(n-k)!)=(x+y)^n/n!, E(x)E(y)=E(x+y)]

Reverse checks

• S422 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S421 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S420 · premise_and_result_audit — Recompute Exp sum argument coefficient with exact rational arithmetic, not rounded decimals.
• S419 · premise_and_result_audit — Recompute Exp sum argument factorial step17 with exact rational arithmetic, not rounded decimals.
• S418 · premise_and_result_audit — Recompute Exp sum argument factorial step16 with exact rational arithmetic, not rounded decimals.
• S417 · premise_and_result_audit — Recompute Exp sum argument factorial step15 with exact rational arithmetic, not rounded decimals.
• S416 · premise_and_result_audit — Recompute Exp sum argument factorial step14 with exact rational arithmetic, not rounded decimals.
• S415 · premise_and_result_audit — Recompute Exp sum argument factorial step13 with exact rational arithmetic, not rounded decimals.
• S414 · premise_and_result_audit — Recompute Exp sum argument factorial step12 with exact rational arithmetic, not rounded decimals.
• S413 · premise_and_result_audit — Recompute Exp sum argument factorial step11 with exact rational arithmetic, not rounded decimals.
• S412 · premise_and_result_audit — Recompute Exp sum argument factorial step10 with exact rational arithmetic, not rounded decimals.
• S411 · premise_and_result_audit — Recompute Exp sum argument factorial step9 with exact rational arithmetic, not rounded decimals.
• S410 · premise_and_result_audit — Recompute Exp sum argument factorial step8 with exact rational arithmetic, not rounded decimals.
• S409 · premise_and_result_audit — Recompute Exp sum argument factorial step7 with exact rational arithmetic, not rounded decimals.
• S408 · premise_and_result_audit — Recompute Exp sum argument factorial step6 with exact rational arithmetic, not rounded decimals.
• S407 · premise_and_result_audit — Recompute Exp sum argument factorial step5 with exact rational arithmetic, not rounded decimals.
• S406 · premise_and_result_audit — Recompute Exp sum argument factorial step4 with exact rational arithmetic, not rounded decimals.
• S405 · premise_and_result_audit — Recompute Exp sum argument factorial step3 with exact rational arithmetic, not rounded decimals.
• S404 · premise_and_result_audit — Recompute Exp sum argument factorial step2 with exact rational arithmetic, not rounded decimals.
• S403 · premise_and_result_audit — Recompute Exp sum argument factorial step1 with exact rational arithmetic, not rounded decimals.
• S402 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S401 · premise_and_result_audit — Recompute Exp ORIGINAL arguments sum with exact rational arithmetic, not rounded decimals.
• S400 · premise_and_result_audit — Recompute Exp complete declared-degree convolution with exact rational arithmetic, not rounded decimals.
• S399 · premise_and_result_audit — Recompute Exp convolution coefficient term17 with exact rational arithmetic, not rounded decimals.
• S398 · premise_and_result_audit — Recompute Exp convolution denominator17 with exact rational arithmetic, not rounded decimals.
• S397 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S396 · premise_and_result_audit — Recompute Exp convolution left17 factorial step17 with exact rational arithmetic, not rounded decimals.
• S395 · premise_and_result_audit — Recompute Exp convolution left17 factorial step16 with exact rational arithmetic, not rounded decimals.
• S394 · premise_and_result_audit — Recompute Exp convolution left17 factorial step15 with exact rational arithmetic, not rounded decimals.
• S393 · premise_and_result_audit — Recompute Exp convolution left17 factorial step14 with exact rational arithmetic, not rounded decimals.
• S392 · premise_and_result_audit — Recompute Exp convolution left17 factorial step13 with exact rational arithmetic, not rounded decimals.
• S391 · premise_and_result_audit — Recompute Exp convolution left17 factorial step12 with exact rational arithmetic, not rounded decimals.
• S390 · premise_and_result_audit — Recompute Exp convolution left17 factorial step11 with exact rational arithmetic, not rounded decimals.
• S389 · premise_and_result_audit — Recompute Exp convolution left17 factorial step10 with exact rational arithmetic, not rounded decimals.
• S388 · premise_and_result_audit — Recompute Exp convolution left17 factorial step9 with exact rational arithmetic, not rounded decimals.
• S387 · premise_and_result_audit — Recompute Exp convolution left17 factorial step8 with exact rational arithmetic, not rounded decimals.
• S386 · premise_and_result_audit — Recompute Exp convolution left17 factorial step7 with exact rational arithmetic, not rounded decimals.
• S385 · premise_and_result_audit — Recompute Exp convolution left17 factorial step6 with exact rational arithmetic, not rounded decimals.
• S384 · premise_and_result_audit — Recompute Exp convolution left17 factorial step5 with exact rational arithmetic, not rounded decimals.
• S383 · premise_and_result_audit — Recompute Exp convolution left17 factorial step4 with exact rational arithmetic, not rounded decimals.
• S382 · premise_and_result_audit — Recompute Exp convolution left17 factorial step3 with exact rational arithmetic, not rounded decimals.
• S381 · premise_and_result_audit — Recompute Exp convolution left17 factorial step2 with exact rational arithmetic, not rounded decimals.
• S380 · premise_and_result_audit — Recompute Exp convolution left17 factorial step1 with exact rational arithmetic, not rounded decimals.
• S379 · premise_and_result_audit — Recompute Exp convolution numerator17 with exact rational arithmetic, not rounded decimals.
• S378 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S377 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S376 · premise_and_result_audit — Recompute Exp convolution coefficient term16 with exact rational arithmetic, not rounded decimals.
• S375 · premise_and_result_audit — Recompute Exp convolution denominator16 with exact rational arithmetic, not rounded decimals.
• S374 · premise_and_result_audit — Recompute Exp convolution right16 factorial step1 with exact rational arithmetic, not rounded decimals.
• S373 · premise_and_result_audit — Recompute Exp convolution left16 factorial step16 with exact rational arithmetic, not rounded decimals.
• S372 · premise_and_result_audit — Recompute Exp convolution left16 factorial step15 with exact rational arithmetic, not rounded decimals.
• S371 · premise_and_result_audit — Recompute Exp convolution left16 factorial step14 with exact rational arithmetic, not rounded decimals.
• S370 · premise_and_result_audit — Recompute Exp convolution left16 factorial step13 with exact rational arithmetic, not rounded decimals.
• S369 · premise_and_result_audit — Recompute Exp convolution left16 factorial step12 with exact rational arithmetic, not rounded decimals.
• S368 · premise_and_result_audit — Recompute Exp convolution left16 factorial step11 with exact rational arithmetic, not rounded decimals.
• S367 · premise_and_result_audit — Recompute Exp convolution left16 factorial step10 with exact rational arithmetic, not rounded decimals.
• S366 · premise_and_result_audit — Recompute Exp convolution left16 factorial step9 with exact rational arithmetic, not rounded decimals.
• S365 · premise_and_result_audit — Recompute Exp convolution left16 factorial step8 with exact rational arithmetic, not rounded decimals.
• S364 · premise_and_result_audit — Recompute Exp convolution left16 factorial step7 with exact rational arithmetic, not rounded decimals.
• S363 · premise_and_result_audit — Recompute Exp convolution left16 factorial step6 with exact rational arithmetic, not rounded decimals.
• S362 · premise_and_result_audit — Recompute Exp convolution left16 factorial step5 with exact rational arithmetic, not rounded decimals.
• S361 · premise_and_result_audit — Recompute Exp convolution left16 factorial step4 with exact rational arithmetic, not rounded decimals.
• S360 · premise_and_result_audit — Recompute Exp convolution left16 factorial step3 with exact rational arithmetic, not rounded decimals.
• S359 · premise_and_result_audit — Recompute Exp convolution left16 factorial step2 with exact rational arithmetic, not rounded decimals.
• S358 · premise_and_result_audit — Recompute Exp convolution left16 factorial step1 with exact rational arithmetic, not rounded decimals.
• S357 · premise_and_result_audit — Recompute Exp convolution numerator16 with exact rational arithmetic, not rounded decimals.
• S356 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S355 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S354 · premise_and_result_audit — Recompute Exp convolution coefficient term15 with exact rational arithmetic, not rounded decimals.
• S353 · premise_and_result_audit — Recompute Exp convolution denominator15 with exact rational arithmetic, not rounded decimals.
• S352 · premise_and_result_audit — Recompute Exp convolution right15 factorial step2 with exact rational arithmetic, not rounded decimals.
• S351 · premise_and_result_audit — Recompute Exp convolution right15 factorial step1 with exact rational arithmetic, not rounded decimals.
• S350 · premise_and_result_audit — Recompute Exp convolution left15 factorial step15 with exact rational arithmetic, not rounded decimals.
• S349 · premise_and_result_audit — Recompute Exp convolution left15 factorial step14 with exact rational arithmetic, not rounded decimals.
• S348 · premise_and_result_audit — Recompute Exp convolution left15 factorial step13 with exact rational arithmetic, not rounded decimals.
• S347 · premise_and_result_audit — Recompute Exp convolution left15 factorial step12 with exact rational arithmetic, not rounded decimals.
• S346 · premise_and_result_audit — Recompute Exp convolution left15 factorial step11 with exact rational arithmetic, not rounded decimals.
• S345 · premise_and_result_audit — Recompute Exp convolution left15 factorial step10 with exact rational arithmetic, not rounded decimals.
• S344 · premise_and_result_audit — Recompute Exp convolution left15 factorial step9 with exact rational arithmetic, not rounded decimals.
• S343 · premise_and_result_audit — Recompute Exp convolution left15 factorial step8 with exact rational arithmetic, not rounded decimals.
• S342 · premise_and_result_audit — Recompute Exp convolution left15 factorial step7 with exact rational arithmetic, not rounded decimals.
• S341 · premise_and_result_audit — Recompute Exp convolution left15 factorial step6 with exact rational arithmetic, not rounded decimals.
• S340 · premise_and_result_audit — Recompute Exp convolution left15 factorial step5 with exact rational arithmetic, not rounded decimals.
• S339 · premise_and_result_audit — Recompute Exp convolution left15 factorial step4 with exact rational arithmetic, not rounded decimals.
• S338 · premise_and_result_audit — Recompute Exp convolution left15 factorial step3 with exact rational arithmetic, not rounded decimals.
• S337 · premise_and_result_audit — Recompute Exp convolution left15 factorial step2 with exact rational arithmetic, not rounded decimals.
• S336 · premise_and_result_audit — Recompute Exp convolution left15 factorial step1 with exact rational arithmetic, not rounded decimals.
• S335 · premise_and_result_audit — Recompute Exp convolution numerator15 with exact rational arithmetic, not rounded decimals.
• S334 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S333 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S332 · premise_and_result_audit — Recompute Exp convolution coefficient term14 with exact rational arithmetic, not rounded decimals.
• S331 · premise_and_result_audit — Recompute Exp convolution denominator14 with exact rational arithmetic, not rounded decimals.
• S330 · premise_and_result_audit — Recompute Exp convolution right14 factorial step3 with exact rational arithmetic, not rounded decimals.
• S329 · premise_and_result_audit — Recompute Exp convolution right14 factorial step2 with exact rational arithmetic, not rounded decimals.
• S328 · premise_and_result_audit — Recompute Exp convolution right14 factorial step1 with exact rational arithmetic, not rounded decimals.
• S327 · premise_and_result_audit — Recompute Exp convolution left14 factorial step14 with exact rational arithmetic, not rounded decimals.
• S326 · premise_and_result_audit — Recompute Exp convolution left14 factorial step13 with exact rational arithmetic, not rounded decimals.
• S325 · premise_and_result_audit — Recompute Exp convolution left14 factorial step12 with exact rational arithmetic, not rounded decimals.
• S324 · premise_and_result_audit — Recompute Exp convolution left14 factorial step11 with exact rational arithmetic, not rounded decimals.
• S323 · premise_and_result_audit — Recompute Exp convolution left14 factorial step10 with exact rational arithmetic, not rounded decimals.
• S322 · premise_and_result_audit — Recompute Exp convolution left14 factorial step9 with exact rational arithmetic, not rounded decimals.
• S321 · premise_and_result_audit — Recompute Exp convolution left14 factorial step8 with exact rational arithmetic, not rounded decimals.
• S320 · premise_and_result_audit — Recompute Exp convolution left14 factorial step7 with exact rational arithmetic, not rounded decimals.
• S319 · premise_and_result_audit — Recompute Exp convolution left14 factorial step6 with exact rational arithmetic, not rounded decimals.
• S318 · premise_and_result_audit — Recompute Exp convolution left14 factorial step5 with exact rational arithmetic, not rounded decimals.
• S317 · premise_and_result_audit — Recompute Exp convolution left14 factorial step4 with exact rational arithmetic, not rounded decimals.
• S316 · premise_and_result_audit — Recompute Exp convolution left14 factorial step3 with exact rational arithmetic, not rounded decimals.
• S315 · premise_and_result_audit — Recompute Exp convolution left14 factorial step2 with exact rational arithmetic, not rounded decimals.
• S314 · premise_and_result_audit — Recompute Exp convolution left14 factorial step1 with exact rational arithmetic, not rounded decimals.
• S313 · premise_and_result_audit — Recompute Exp convolution numerator14 with exact rational arithmetic, not rounded decimals.
• S312 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S311 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S310 · premise_and_result_audit — Recompute Exp convolution coefficient term13 with exact rational arithmetic, not rounded decimals.
• S309 · premise_and_result_audit — Recompute Exp convolution denominator13 with exact rational arithmetic, not rounded decimals.
• S308 · premise_and_result_audit — Recompute Exp convolution right13 factorial step4 with exact rational arithmetic, not rounded decimals.
• S307 · premise_and_result_audit — Recompute Exp convolution right13 factorial step3 with exact rational arithmetic, not rounded decimals.
• S306 · premise_and_result_audit — Recompute Exp convolution right13 factorial step2 with exact rational arithmetic, not rounded decimals.
• S305 · premise_and_result_audit — Recompute Exp convolution right13 factorial step1 with exact rational arithmetic, not rounded decimals.
• S304 · premise_and_result_audit — Recompute Exp convolution left13 factorial step13 with exact rational arithmetic, not rounded decimals.
• S303 · premise_and_result_audit — Recompute Exp convolution left13 factorial step12 with exact rational arithmetic, not rounded decimals.
• S302 · premise_and_result_audit — Recompute Exp convolution left13 factorial step11 with exact rational arithmetic, not rounded decimals.
• S301 · premise_and_result_audit — Recompute Exp convolution left13 factorial step10 with exact rational arithmetic, not rounded decimals.
• S300 · premise_and_result_audit — Recompute Exp convolution left13 factorial step9 with exact rational arithmetic, not rounded decimals.
• S299 · premise_and_result_audit — Recompute Exp convolution left13 factorial step8 with exact rational arithmetic, not rounded decimals.
• S298 · premise_and_result_audit — Recompute Exp convolution left13 factorial step7 with exact rational arithmetic, not rounded decimals.
• S297 · premise_and_result_audit — Recompute Exp convolution left13 factorial step6 with exact rational arithmetic, not rounded decimals.
• S296 · premise_and_result_audit — Recompute Exp convolution left13 factorial step5 with exact rational arithmetic, not rounded decimals.
• S295 · premise_and_result_audit — Recompute Exp convolution left13 factorial step4 with exact rational arithmetic, not rounded decimals.
• S294 · premise_and_result_audit — Recompute Exp convolution left13 factorial step3 with exact rational arithmetic, not rounded decimals.
• S293 · premise_and_result_audit — Recompute Exp convolution left13 factorial step2 with exact rational arithmetic, not rounded decimals.
• S292 · premise_and_result_audit — Recompute Exp convolution left13 factorial step1 with exact rational arithmetic, not rounded decimals.
• S291 · premise_and_result_audit — Recompute Exp convolution numerator13 with exact rational arithmetic, not rounded decimals.
• S290 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S289 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S288 · premise_and_result_audit — Recompute Exp convolution coefficient term12 with exact rational arithmetic, not rounded decimals.
• S287 · premise_and_result_audit — Recompute Exp convolution denominator12 with exact rational arithmetic, not rounded decimals.
• S286 · premise_and_result_audit — Recompute Exp convolution right12 factorial step5 with exact rational arithmetic, not rounded decimals.
• S285 · premise_and_result_audit — Recompute Exp convolution right12 factorial step4 with exact rational arithmetic, not rounded decimals.
• S284 · premise_and_result_audit — Recompute Exp convolution right12 factorial step3 with exact rational arithmetic, not rounded decimals.
• S283 · premise_and_result_audit — Recompute Exp convolution right12 factorial step2 with exact rational arithmetic, not rounded decimals.
• S282 · premise_and_result_audit — Recompute Exp convolution right12 factorial step1 with exact rational arithmetic, not rounded decimals.
• S281 · premise_and_result_audit — Recompute Exp convolution left12 factorial step12 with exact rational arithmetic, not rounded decimals.
• S280 · premise_and_result_audit — Recompute Exp convolution left12 factorial step11 with exact rational arithmetic, not rounded decimals.
• S279 · premise_and_result_audit — Recompute Exp convolution left12 factorial step10 with exact rational arithmetic, not rounded decimals.
• S278 · premise_and_result_audit — Recompute Exp convolution left12 factorial step9 with exact rational arithmetic, not rounded decimals.
• S277 · premise_and_result_audit — Recompute Exp convolution left12 factorial step8 with exact rational arithmetic, not rounded decimals.
• S276 · premise_and_result_audit — Recompute Exp convolution left12 factorial step7 with exact rational arithmetic, not rounded decimals.
• S275 · premise_and_result_audit — Recompute Exp convolution left12 factorial step6 with exact rational arithmetic, not rounded decimals.
• S274 · premise_and_result_audit — Recompute Exp convolution left12 factorial step5 with exact rational arithmetic, not rounded decimals.
• S273 · premise_and_result_audit — Recompute Exp convolution left12 factorial step4 with exact rational arithmetic, not rounded decimals.
• S272 · premise_and_result_audit — Recompute Exp convolution left12 factorial step3 with exact rational arithmetic, not rounded decimals.
• S271 · premise_and_result_audit — Recompute Exp convolution left12 factorial step2 with exact rational arithmetic, not rounded decimals.
• S270 · premise_and_result_audit — Recompute Exp convolution left12 factorial step1 with exact rational arithmetic, not rounded decimals.
• S269 · premise_and_result_audit — Recompute Exp convolution numerator12 with exact rational arithmetic, not rounded decimals.
• S268 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S267 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S266 · premise_and_result_audit — Recompute Exp convolution coefficient term11 with exact rational arithmetic, not rounded decimals.
• S265 · premise_and_result_audit — Recompute Exp convolution denominator11 with exact rational arithmetic, not rounded decimals.
• S264 · premise_and_result_audit — Recompute Exp convolution right11 factorial step6 with exact rational arithmetic, not rounded decimals.
• S263 · premise_and_result_audit — Recompute Exp convolution right11 factorial step5 with exact rational arithmetic, not rounded decimals.
• S262 · premise_and_result_audit — Recompute Exp convolution right11 factorial step4 with exact rational arithmetic, not rounded decimals.
• S261 · premise_and_result_audit — Recompute Exp convolution right11 factorial step3 with exact rational arithmetic, not rounded decimals.
• S260 · premise_and_result_audit — Recompute Exp convolution right11 factorial step2 with exact rational arithmetic, not rounded decimals.
• S259 · premise_and_result_audit — Recompute Exp convolution right11 factorial step1 with exact rational arithmetic, not rounded decimals.
• S258 · premise_and_result_audit — Recompute Exp convolution left11 factorial step11 with exact rational arithmetic, not rounded decimals.
• S257 · premise_and_result_audit — Recompute Exp convolution left11 factorial step10 with exact rational arithmetic, not rounded decimals.
• S256 · premise_and_result_audit — Recompute Exp convolution left11 factorial step9 with exact rational arithmetic, not rounded decimals.
• S255 · premise_and_result_audit — Recompute Exp convolution left11 factorial step8 with exact rational arithmetic, not rounded decimals.
• S254 · premise_and_result_audit — Recompute Exp convolution left11 factorial step7 with exact rational arithmetic, not rounded decimals.
• S253 · premise_and_result_audit — Recompute Exp convolution left11 factorial step6 with exact rational arithmetic, not rounded decimals.
• S252 · premise_and_result_audit — Recompute Exp convolution left11 factorial step5 with exact rational arithmetic, not rounded decimals.
• S251 · premise_and_result_audit — Recompute Exp convolution left11 factorial step4 with exact rational arithmetic, not rounded decimals.
• S250 · premise_and_result_audit — Recompute Exp convolution left11 factorial step3 with exact rational arithmetic, not rounded decimals.
• S249 · premise_and_result_audit — Recompute Exp convolution left11 factorial step2 with exact rational arithmetic, not rounded decimals.
• S248 · premise_and_result_audit — Recompute Exp convolution left11 factorial step1 with exact rational arithmetic, not rounded decimals.
• S247 · premise_and_result_audit — Recompute Exp convolution numerator11 with exact rational arithmetic, not rounded decimals.
• S246 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S245 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S244 · premise_and_result_audit — Recompute Exp convolution coefficient term10 with exact rational arithmetic, not rounded decimals.
• S243 · premise_and_result_audit — Recompute Exp convolution denominator10 with exact rational arithmetic, not rounded decimals.
• S242 · premise_and_result_audit — Recompute Exp convolution right10 factorial step7 with exact rational arithmetic, not rounded decimals.
• S241 · premise_and_result_audit — Recompute Exp convolution right10 factorial step6 with exact rational arithmetic, not rounded decimals.
• S240 · premise_and_result_audit — Recompute Exp convolution right10 factorial step5 with exact rational arithmetic, not rounded decimals.
• S239 · premise_and_result_audit — Recompute Exp convolution right10 factorial step4 with exact rational arithmetic, not rounded decimals.
• S238 · premise_and_result_audit — Recompute Exp convolution right10 factorial step3 with exact rational arithmetic, not rounded decimals.
• S237 · premise_and_result_audit — Recompute Exp convolution right10 factorial step2 with exact rational arithmetic, not rounded decimals.
• S236 · premise_and_result_audit — Recompute Exp convolution right10 factorial step1 with exact rational arithmetic, not rounded decimals.
• S235 · premise_and_result_audit — Recompute Exp convolution left10 factorial step10 with exact rational arithmetic, not rounded decimals.
• S234 · premise_and_result_audit — Recompute Exp convolution left10 factorial step9 with exact rational arithmetic, not rounded decimals.
• S233 · premise_and_result_audit — Recompute Exp convolution left10 factorial step8 with exact rational arithmetic, not rounded decimals.
• S232 · premise_and_result_audit — Recompute Exp convolution left10 factorial step7 with exact rational arithmetic, not rounded decimals.
• S231 · premise_and_result_audit — Recompute Exp convolution left10 factorial step6 with exact rational arithmetic, not rounded decimals.
• S230 · premise_and_result_audit — Recompute Exp convolution left10 factorial step5 with exact rational arithmetic, not rounded decimals.
• S229 · premise_and_result_audit — Recompute Exp convolution left10 factorial step4 with exact rational arithmetic, not rounded decimals.
• S228 · premise_and_result_audit — Recompute Exp convolution left10 factorial step3 with exact rational arithmetic, not rounded decimals.
• S227 · premise_and_result_audit — Recompute Exp convolution left10 factorial step2 with exact rational arithmetic, not rounded decimals.
• S226 · premise_and_result_audit — Recompute Exp convolution left10 factorial step1 with exact rational arithmetic, not rounded decimals.
• S225 · premise_and_result_audit — Recompute Exp convolution numerator10 with exact rational arithmetic, not rounded decimals.
• S224 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S223 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S222 · premise_and_result_audit — Recompute Exp convolution coefficient term9 with exact rational arithmetic, not rounded decimals.
• S221 · premise_and_result_audit — Recompute Exp convolution denominator9 with exact rational arithmetic, not rounded decimals.
• S220 · premise_and_result_audit — Recompute Exp convolution right9 factorial step8 with exact rational arithmetic, not rounded decimals.
• S219 · premise_and_result_audit — Recompute Exp convolution right9 factorial step7 with exact rational arithmetic, not rounded decimals.
• S218 · premise_and_result_audit — Recompute Exp convolution right9 factorial step6 with exact rational arithmetic, not rounded decimals.
• S217 · premise_and_result_audit — Recompute Exp convolution right9 factorial step5 with exact rational arithmetic, not rounded decimals.
• S216 · premise_and_result_audit — Recompute Exp convolution right9 factorial step4 with exact rational arithmetic, not rounded decimals.
• S215 · premise_and_result_audit — Recompute Exp convolution right9 factorial step3 with exact rational arithmetic, not rounded decimals.
• S214 · premise_and_result_audit — Recompute Exp convolution right9 factorial step2 with exact rational arithmetic, not rounded decimals.
• S213 · premise_and_result_audit — Recompute Exp convolution right9 factorial step1 with exact rational arithmetic, not rounded decimals.
• S212 · premise_and_result_audit — Recompute Exp convolution left9 factorial step9 with exact rational arithmetic, not rounded decimals.
• S211 · premise_and_result_audit — Recompute Exp convolution left9 factorial step8 with exact rational arithmetic, not rounded decimals.
• S210 · premise_and_result_audit — Recompute Exp convolution left9 factorial step7 with exact rational arithmetic, not rounded decimals.
• S209 · premise_and_result_audit — Recompute Exp convolution left9 factorial step6 with exact rational arithmetic, not rounded decimals.
• S208 · premise_and_result_audit — Recompute Exp convolution left9 factorial step5 with exact rational arithmetic, not rounded decimals.
• S207 · premise_and_result_audit — Recompute Exp convolution left9 factorial step4 with exact rational arithmetic, not rounded decimals.
• S206 · premise_and_result_audit — Recompute Exp convolution left9 factorial step3 with exact rational arithmetic, not rounded decimals.
• S205 · premise_and_result_audit — Recompute Exp convolution left9 factorial step2 with exact rational arithmetic, not rounded decimals.
• S204 · premise_and_result_audit — Recompute Exp convolution left9 factorial step1 with exact rational arithmetic, not rounded decimals.
• S203 · premise_and_result_audit — Recompute Exp convolution numerator9 with exact rational arithmetic, not rounded decimals.
• S202 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S201 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S200 · premise_and_result_audit — Recompute Exp convolution coefficient term8 with exact rational arithmetic, not rounded decimals.
• S199 · premise_and_result_audit — Recompute Exp convolution denominator8 with exact rational arithmetic, not rounded decimals.
• S198 · premise_and_result_audit — Recompute Exp convolution right8 factorial step9 with exact rational arithmetic, not rounded decimals.
• S197 · premise_and_result_audit — Recompute Exp convolution right8 factorial step8 with exact rational arithmetic, not rounded decimals.
• S196 · premise_and_result_audit — Recompute Exp convolution right8 factorial step7 with exact rational arithmetic, not rounded decimals.
• S195 · premise_and_result_audit — Recompute Exp convolution right8 factorial step6 with exact rational arithmetic, not rounded decimals.
• S194 · premise_and_result_audit — Recompute Exp convolution right8 factorial step5 with exact rational arithmetic, not rounded decimals.
• S193 · premise_and_result_audit — Recompute Exp convolution right8 factorial step4 with exact rational arithmetic, not rounded decimals.
• S192 · premise_and_result_audit — Recompute Exp convolution right8 factorial step3 with exact rational arithmetic, not rounded decimals.
• S191 · premise_and_result_audit — Recompute Exp convolution right8 factorial step2 with exact rational arithmetic, not rounded decimals.
• S190 · premise_and_result_audit — Recompute Exp convolution right8 factorial step1 with exact rational arithmetic, not rounded decimals.
• S189 · premise_and_result_audit — Recompute Exp convolution left8 factorial step8 with exact rational arithmetic, not rounded decimals.
• S188 · premise_and_result_audit — Recompute Exp convolution left8 factorial step7 with exact rational arithmetic, not rounded decimals.
• S187 · premise_and_result_audit — Recompute Exp convolution left8 factorial step6 with exact rational arithmetic, not rounded decimals.
• S186 · premise_and_result_audit — Recompute Exp convolution left8 factorial step5 with exact rational arithmetic, not rounded decimals.
• S185 · premise_and_result_audit — Recompute Exp convolution left8 factorial step4 with exact rational arithmetic, not rounded decimals.
• S184 · premise_and_result_audit — Recompute Exp convolution left8 factorial step3 with exact rational arithmetic, not rounded decimals.
• S183 · premise_and_result_audit — Recompute Exp convolution left8 factorial step2 with exact rational arithmetic, not rounded decimals.
• S182 · premise_and_result_audit — Recompute Exp convolution left8 factorial step1 with exact rational arithmetic, not rounded decimals.
• S181 · premise_and_result_audit — Recompute Exp convolution numerator8 with exact rational arithmetic, not rounded decimals.
• S180 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S179 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S178 · premise_and_result_audit — Recompute Exp convolution coefficient term7 with exact rational arithmetic, not rounded decimals.
• S177 · premise_and_result_audit — Recompute Exp convolution denominator7 with exact rational arithmetic, not rounded decimals.
• S176 · premise_and_result_audit — Recompute Exp convolution right7 factorial step10 with exact rational arithmetic, not rounded decimals.
• S175 · premise_and_result_audit — Recompute Exp convolution right7 factorial step9 with exact rational arithmetic, not rounded decimals.
• S174 · premise_and_result_audit — Recompute Exp convolution right7 factorial step8 with exact rational arithmetic, not rounded decimals.
• S173 · premise_and_result_audit — Recompute Exp convolution right7 factorial step7 with exact rational arithmetic, not rounded decimals.
• S172 · premise_and_result_audit — Recompute Exp convolution right7 factorial step6 with exact rational arithmetic, not rounded decimals.
• S171 · premise_and_result_audit — Recompute Exp convolution right7 factorial step5 with exact rational arithmetic, not rounded decimals.
• S170 · premise_and_result_audit — Recompute Exp convolution right7 factorial step4 with exact rational arithmetic, not rounded decimals.
• S169 · premise_and_result_audit — Recompute Exp convolution right7 factorial step3 with exact rational arithmetic, not rounded decimals.
• S168 · premise_and_result_audit — Recompute Exp convolution right7 factorial step2 with exact rational arithmetic, not rounded decimals.
• S167 · premise_and_result_audit — Recompute Exp convolution right7 factorial step1 with exact rational arithmetic, not rounded decimals.
• S166 · premise_and_result_audit — Recompute Exp convolution left7 factorial step7 with exact rational arithmetic, not rounded decimals.
• S165 · premise_and_result_audit — Recompute Exp convolution left7 factorial step6 with exact rational arithmetic, not rounded decimals.
• S164 · premise_and_result_audit — Recompute Exp convolution left7 factorial step5 with exact rational arithmetic, not rounded decimals.
• S163 · premise_and_result_audit — Recompute Exp convolution left7 factorial step4 with exact rational arithmetic, not rounded decimals.
• S162 · premise_and_result_audit — Recompute Exp convolution left7 factorial step3 with exact rational arithmetic, not rounded decimals.
• S161 · premise_and_result_audit — Recompute Exp convolution left7 factorial step2 with exact rational arithmetic, not rounded decimals.
• S160 · premise_and_result_audit — Recompute Exp convolution left7 factorial step1 with exact rational arithmetic, not rounded decimals.
• S159 · premise_and_result_audit — Recompute Exp convolution numerator7 with exact rational arithmetic, not rounded decimals.
• S158 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S157 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S156 · premise_and_result_audit — Recompute Exp convolution coefficient term6 with exact rational arithmetic, not rounded decimals.
• S155 · premise_and_result_audit — Recompute Exp convolution denominator6 with exact rational arithmetic, not rounded decimals.
• S154 · premise_and_result_audit — Recompute Exp convolution right6 factorial step11 with exact rational arithmetic, not rounded decimals.
• S153 · premise_and_result_audit — Recompute Exp convolution right6 factorial step10 with exact rational arithmetic, not rounded decimals.
• S152 · premise_and_result_audit — Recompute Exp convolution right6 factorial step9 with exact rational arithmetic, not rounded decimals.
• S151 · premise_and_result_audit — Recompute Exp convolution right6 factorial step8 with exact rational arithmetic, not rounded decimals.
• S150 · premise_and_result_audit — Recompute Exp convolution right6 factorial step7 with exact rational arithmetic, not rounded decimals.
• S149 · premise_and_result_audit — Recompute Exp convolution right6 factorial step6 with exact rational arithmetic, not rounded decimals.
• S148 · premise_and_result_audit — Recompute Exp convolution right6 factorial step5 with exact rational arithmetic, not rounded decimals.
• S147 · premise_and_result_audit — Recompute Exp convolution right6 factorial step4 with exact rational arithmetic, not rounded decimals.
• S146 · premise_and_result_audit — Recompute Exp convolution right6 factorial step3 with exact rational arithmetic, not rounded decimals.
• S145 · premise_and_result_audit — Recompute Exp convolution right6 factorial step2 with exact rational arithmetic, not rounded decimals.
• S144 · premise_and_result_audit — Recompute Exp convolution right6 factorial step1 with exact rational arithmetic, not rounded decimals.
• S143 · premise_and_result_audit — Recompute Exp convolution left6 factorial step6 with exact rational arithmetic, not rounded decimals.
• S142 · premise_and_result_audit — Recompute Exp convolution left6 factorial step5 with exact rational arithmetic, not rounded decimals.
• S141 · premise_and_result_audit — Recompute Exp convolution left6 factorial step4 with exact rational arithmetic, not rounded decimals.
• S140 · premise_and_result_audit — Recompute Exp convolution left6 factorial step3 with exact rational arithmetic, not rounded decimals.
• S139 · premise_and_result_audit — Recompute Exp convolution left6 factorial step2 with exact rational arithmetic, not rounded decimals.
• S138 · premise_and_result_audit — Recompute Exp convolution left6 factorial step1 with exact rational arithmetic, not rounded decimals.
• S137 · premise_and_result_audit — Recompute Exp convolution numerator6 with exact rational arithmetic, not rounded decimals.
• S136 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S135 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S134 · premise_and_result_audit — Recompute Exp convolution coefficient term5 with exact rational arithmetic, not rounded decimals.
• S133 · premise_and_result_audit — Recompute Exp convolution denominator5 with exact rational arithmetic, not rounded decimals.
• S132 · premise_and_result_audit — Recompute Exp convolution right5 factorial step12 with exact rational arithmetic, not rounded decimals.
• S131 · premise_and_result_audit — Recompute Exp convolution right5 factorial step11 with exact rational arithmetic, not rounded decimals.
• S130 · premise_and_result_audit — Recompute Exp convolution right5 factorial step10 with exact rational arithmetic, not rounded decimals.
• S129 · premise_and_result_audit — Recompute Exp convolution right5 factorial step9 with exact rational arithmetic, not rounded decimals.
• S128 · premise_and_result_audit — Recompute Exp convolution right5 factorial step8 with exact rational arithmetic, not rounded decimals.
• S127 · premise_and_result_audit — Recompute Exp convolution right5 factorial step7 with exact rational arithmetic, not rounded decimals.
• S126 · premise_and_result_audit — Recompute Exp convolution right5 factorial step6 with exact rational arithmetic, not rounded decimals.
• S125 · premise_and_result_audit — Recompute Exp convolution right5 factorial step5 with exact rational arithmetic, not rounded decimals.
• S124 · premise_and_result_audit — Recompute Exp convolution right5 factorial step4 with exact rational arithmetic, not rounded decimals.
• S123 · premise_and_result_audit — Recompute Exp convolution right5 factorial step3 with exact rational arithmetic, not rounded decimals.
• S122 · premise_and_result_audit — Recompute Exp convolution right5 factorial step2 with exact rational arithmetic, not rounded decimals.
• S121 · premise_and_result_audit — Recompute Exp convolution right5 factorial step1 with exact rational arithmetic, not rounded decimals.
• S120 · premise_and_result_audit — Recompute Exp convolution left5 factorial step5 with exact rational arithmetic, not rounded decimals.
• S119 · premise_and_result_audit — Recompute Exp convolution left5 factorial step4 with exact rational arithmetic, not rounded decimals.
• S118 · premise_and_result_audit — Recompute Exp convolution left5 factorial step3 with exact rational arithmetic, not rounded decimals.
• S117 · premise_and_result_audit — Recompute Exp convolution left5 factorial step2 with exact rational arithmetic, not rounded decimals.
• S116 · premise_and_result_audit — Recompute Exp convolution left5 factorial step1 with exact rational arithmetic, not rounded decimals.
• S115 · premise_and_result_audit — Recompute Exp convolution numerator5 with exact rational arithmetic, not rounded decimals.
• S114 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S113 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S112 · premise_and_result_audit — Recompute Exp convolution coefficient term4 with exact rational arithmetic, not rounded decimals.
• S111 · premise_and_result_audit — Recompute Exp convolution denominator4 with exact rational arithmetic, not rounded decimals.
• S110 · premise_and_result_audit — Recompute Exp convolution right4 factorial step13 with exact rational arithmetic, not rounded decimals.
• S109 · premise_and_result_audit — Recompute Exp convolution right4 factorial step12 with exact rational arithmetic, not rounded decimals.
• S108 · premise_and_result_audit — Recompute Exp convolution right4 factorial step11 with exact rational arithmetic, not rounded decimals.
• S107 · premise_and_result_audit — Recompute Exp convolution right4 factorial step10 with exact rational arithmetic, not rounded decimals.
• S106 · premise_and_result_audit — Recompute Exp convolution right4 factorial step9 with exact rational arithmetic, not rounded decimals.
• S105 · premise_and_result_audit — Recompute Exp convolution right4 factorial step8 with exact rational arithmetic, not rounded decimals.
• S104 · premise_and_result_audit — Recompute Exp convolution right4 factorial step7 with exact rational arithmetic, not rounded decimals.
• S103 · premise_and_result_audit — Recompute Exp convolution right4 factorial step6 with exact rational arithmetic, not rounded decimals.
• S102 · premise_and_result_audit — Recompute Exp convolution right4 factorial step5 with exact rational arithmetic, not rounded decimals.
• S101 · premise_and_result_audit — Recompute Exp convolution right4 factorial step4 with exact rational arithmetic, not rounded decimals.
• S100 · premise_and_result_audit — Recompute Exp convolution right4 factorial step3 with exact rational arithmetic, not rounded decimals.
• S099 · premise_and_result_audit — Recompute Exp convolution right4 factorial step2 with exact rational arithmetic, not rounded decimals.
• S098 · premise_and_result_audit — Recompute Exp convolution right4 factorial step1 with exact rational arithmetic, not rounded decimals.
• S097 · premise_and_result_audit — Recompute Exp convolution left4 factorial step4 with exact rational arithmetic, not rounded decimals.
• S096 · premise_and_result_audit — Recompute Exp convolution left4 factorial step3 with exact rational arithmetic, not rounded decimals.
• S095 · premise_and_result_audit — Recompute Exp convolution left4 factorial step2 with exact rational arithmetic, not rounded decimals.
• S094 · premise_and_result_audit — Recompute Exp convolution left4 factorial step1 with exact rational arithmetic, not rounded decimals.
• S093 · premise_and_result_audit — Recompute Exp convolution numerator4 with exact rational arithmetic, not rounded decimals.
• S092 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S091 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S090 · premise_and_result_audit — Recompute Exp convolution coefficient term3 with exact rational arithmetic, not rounded decimals.
• S089 · premise_and_result_audit — Recompute Exp convolution denominator3 with exact rational arithmetic, not rounded decimals.
• S088 · premise_and_result_audit — Recompute Exp convolution right3 factorial step14 with exact rational arithmetic, not rounded decimals.
• S087 · premise_and_result_audit — Recompute Exp convolution right3 factorial step13 with exact rational arithmetic, not rounded decimals.
• S086 · premise_and_result_audit — Recompute Exp convolution right3 factorial step12 with exact rational arithmetic, not rounded decimals.
• S085 · premise_and_result_audit — Recompute Exp convolution right3 factorial step11 with exact rational arithmetic, not rounded decimals.
• S084 · premise_and_result_audit — Recompute Exp convolution right3 factorial step10 with exact rational arithmetic, not rounded decimals.
• S083 · premise_and_result_audit — Recompute Exp convolution right3 factorial step9 with exact rational arithmetic, not rounded decimals.
• S082 · premise_and_result_audit — Recompute Exp convolution right3 factorial step8 with exact rational arithmetic, not rounded decimals.
• S081 · premise_and_result_audit — Recompute Exp convolution right3 factorial step7 with exact rational arithmetic, not rounded decimals.
• S080 · premise_and_result_audit — Recompute Exp convolution right3 factorial step6 with exact rational arithmetic, not rounded decimals.
• S079 · premise_and_result_audit — Recompute Exp convolution right3 factorial step5 with exact rational arithmetic, not rounded decimals.
• S078 · premise_and_result_audit — Recompute Exp convolution right3 factorial step4 with exact rational arithmetic, not rounded decimals.
• S077 · premise_and_result_audit — Recompute Exp convolution right3 factorial step3 with exact rational arithmetic, not rounded decimals.
• S076 · premise_and_result_audit — Recompute Exp convolution right3 factorial step2 with exact rational arithmetic, not rounded decimals.
• S075 · premise_and_result_audit — Recompute Exp convolution right3 factorial step1 with exact rational arithmetic, not rounded decimals.
• S074 · premise_and_result_audit — Recompute Exp convolution left3 factorial step3 with exact rational arithmetic, not rounded decimals.
• S073 · premise_and_result_audit — Recompute Exp convolution left3 factorial step2 with exact rational arithmetic, not rounded decimals.
• S072 · premise_and_result_audit — Recompute Exp convolution left3 factorial step1 with exact rational arithmetic, not rounded decimals.
• S071 · premise_and_result_audit — Recompute Exp convolution numerator3 with exact rational arithmetic, not rounded decimals.
• S070 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S069 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S068 · premise_and_result_audit — Recompute Exp convolution coefficient term2 with exact rational arithmetic, not rounded decimals.
• S067 · premise_and_result_audit — Recompute Exp convolution denominator2 with exact rational arithmetic, not rounded decimals.
• S066 · premise_and_result_audit — Recompute Exp convolution right2 factorial step15 with exact rational arithmetic, not rounded decimals.
• S065 · premise_and_result_audit — Recompute Exp convolution right2 factorial step14 with exact rational arithmetic, not rounded decimals.
• S064 · premise_and_result_audit — Recompute Exp convolution right2 factorial step13 with exact rational arithmetic, not rounded decimals.
• S063 · premise_and_result_audit — Recompute Exp convolution right2 factorial step12 with exact rational arithmetic, not rounded decimals.
• S062 · premise_and_result_audit — Recompute Exp convolution right2 factorial step11 with exact rational arithmetic, not rounded decimals.
• S061 · premise_and_result_audit — Recompute Exp convolution right2 factorial step10 with exact rational arithmetic, not rounded decimals.
• S060 · premise_and_result_audit — Recompute Exp convolution right2 factorial step9 with exact rational arithmetic, not rounded decimals.
• S059 · premise_and_result_audit — Recompute Exp convolution right2 factorial step8 with exact rational arithmetic, not rounded decimals.
• S058 · premise_and_result_audit — Recompute Exp convolution right2 factorial step7 with exact rational arithmetic, not rounded decimals.
• S057 · premise_and_result_audit — Recompute Exp convolution right2 factorial step6 with exact rational arithmetic, not rounded decimals.
• S056 · premise_and_result_audit — Recompute Exp convolution right2 factorial step5 with exact rational arithmetic, not rounded decimals.
• S055 · premise_and_result_audit — Recompute Exp convolution right2 factorial step4 with exact rational arithmetic, not rounded decimals.
• S054 · premise_and_result_audit — Recompute Exp convolution right2 factorial step3 with exact rational arithmetic, not rounded decimals.
• S053 · premise_and_result_audit — Recompute Exp convolution right2 factorial step2 with exact rational arithmetic, not rounded decimals.
• S052 · premise_and_result_audit — Recompute Exp convolution right2 factorial step1 with exact rational arithmetic, not rounded decimals.
• S051 · premise_and_result_audit — Recompute Exp convolution left2 factorial step2 with exact rational arithmetic, not rounded decimals.
• S050 · premise_and_result_audit — Recompute Exp convolution left2 factorial step1 with exact rational arithmetic, not rounded decimals.
• S049 · premise_and_result_audit — Recompute Exp convolution numerator2 with exact rational arithmetic, not rounded decimals.
• S048 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S047 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S046 · premise_and_result_audit — Recompute Exp convolution coefficient term1 with exact rational arithmetic, not rounded decimals.
• S045 · premise_and_result_audit — Recompute Exp convolution denominator1 with exact rational arithmetic, not rounded decimals.
• S044 · premise_and_result_audit — Recompute Exp convolution right1 factorial step16 with exact rational arithmetic, not rounded decimals.
• S043 · premise_and_result_audit — Recompute Exp convolution right1 factorial step15 with exact rational arithmetic, not rounded decimals.
• S042 · premise_and_result_audit — Recompute Exp convolution right1 factorial step14 with exact rational arithmetic, not rounded decimals.
• S041 · premise_and_result_audit — Recompute Exp convolution right1 factorial step13 with exact rational arithmetic, not rounded decimals.
• S040 · premise_and_result_audit — Recompute Exp convolution right1 factorial step12 with exact rational arithmetic, not rounded decimals.
• S039 · premise_and_result_audit — Recompute Exp convolution right1 factorial step11 with exact rational arithmetic, not rounded decimals.
• S038 · premise_and_result_audit — Recompute Exp convolution right1 factorial step10 with exact rational arithmetic, not rounded decimals.
• S037 · premise_and_result_audit — Recompute Exp convolution right1 factorial step9 with exact rational arithmetic, not rounded decimals.
• S036 · premise_and_result_audit — Recompute Exp convolution right1 factorial step8 with exact rational arithmetic, not rounded decimals.
• S035 · premise_and_result_audit — Recompute Exp convolution right1 factorial step7 with exact rational arithmetic, not rounded decimals.
• S034 · premise_and_result_audit — Recompute Exp convolution right1 factorial step6 with exact rational arithmetic, not rounded decimals.
• S033 · premise_and_result_audit — Recompute Exp convolution right1 factorial step5 with exact rational arithmetic, not rounded decimals.
• S032 · premise_and_result_audit — Recompute Exp convolution right1 factorial step4 with exact rational arithmetic, not rounded decimals.
• S031 · premise_and_result_audit — Recompute Exp convolution right1 factorial step3 with exact rational arithmetic, not rounded decimals.
• S030 · premise_and_result_audit — Recompute Exp convolution right1 factorial step2 with exact rational arithmetic, not rounded decimals.
• S029 · premise_and_result_audit — Recompute Exp convolution right1 factorial step1 with exact rational arithmetic, not rounded decimals.
• S028 · premise_and_result_audit — Recompute Exp convolution left1 factorial step1 with exact rational arithmetic, not rounded decimals.
• S027 · premise_and_result_audit — Recompute Exp convolution numerator1 with exact rational arithmetic, not rounded decimals.
• S026 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S025 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S024 · premise_and_result_audit — Recompute Exp convolution coefficient term0 with exact rational arithmetic, not rounded decimals.
• S023 · premise_and_result_audit — Recompute Exp convolution denominator0 with exact rational arithmetic, not rounded decimals.
• S022 · premise_and_result_audit — Recompute Exp convolution right0 factorial step17 with exact rational arithmetic, not rounded decimals.
• S021 · premise_and_result_audit — Recompute Exp convolution right0 factorial step16 with exact rational arithmetic, not rounded decimals.
• S020 · premise_and_result_audit — Recompute Exp convolution right0 factorial step15 with exact rational arithmetic, not rounded decimals.
• S019 · premise_and_result_audit — Recompute Exp convolution right0 factorial step14 with exact rational arithmetic, not rounded decimals.
• S018 · premise_and_result_audit — Recompute Exp convolution right0 factorial step13 with exact rational arithmetic, not rounded decimals.
• S017 · premise_and_result_audit — Recompute Exp convolution right0 factorial step12 with exact rational arithmetic, not rounded decimals.
• S016 · premise_and_result_audit — Recompute Exp convolution right0 factorial step11 with exact rational arithmetic, not rounded decimals.
• S015 · premise_and_result_audit — Recompute Exp convolution right0 factorial step10 with exact rational arithmetic, not rounded decimals.
• S014 · premise_and_result_audit — Recompute Exp convolution right0 factorial step9 with exact rational arithmetic, not rounded decimals.
• S013 · premise_and_result_audit — Recompute Exp convolution right0 factorial step8 with exact rational arithmetic, not rounded decimals.
• S012 · premise_and_result_audit — Recompute Exp convolution right0 factorial step7 with exact rational arithmetic, not rounded decimals.
• S011 · premise_and_result_audit — Recompute Exp convolution right0 factorial step6 with exact rational arithmetic, not rounded decimals.
• S010 · premise_and_result_audit — Recompute Exp convolution right0 factorial step5 with exact rational arithmetic, not rounded decimals.
• S009 · premise_and_result_audit — Recompute Exp convolution right0 factorial step4 with exact rational arithmetic, not rounded decimals.
• S008 · premise_and_result_audit — Recompute Exp convolution right0 factorial step3 with exact rational arithmetic, not rounded decimals.
• S007 · premise_and_result_audit — Recompute Exp convolution right0 factorial step2 with exact rational arithmetic, not rounded decimals.
• S006 · premise_and_result_audit — Recompute Exp convolution right0 factorial step1 with exact rational arithmetic, not rounded decimals.
• S005 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S004 · premise_and_result_audit — Recompute Exp convolution numerator0 with exact rational arithmetic, not rounded decimals.
• S003 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S002 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
• S001 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.

Result

(18/19, -19/20, 17, [[0, -5480386857784802185939/4662066257539891200000000000000000000], [1, 15181127029874798299/761775532277760000000000000000000], [2, -42052983462257059/264505393152000000000000000000], [3, 116490258898219/146947440640000000000000000], [4, -2904189280011/1049624576000000000000000], [5, 72403610859/10092544000000000000000], [6, -1805076171/126156800000000000000], [7, 45001899/2007040000000000000], [8, -1121931/40140800000000000], [9, 531441/19066880000000000], [10, -4782969/215098240000000000], [11, 43046721/3050553968000000000], [12, -387420489/55062499122400000000], [13, 3486784401/1292041541907116000000], [14, -31381059609/40812362204991026650000], [15, 282429536481/1841657844500220077581250], [16, -2541865828329/132967696372915889601366250], [17, 91507169819844/81602275264058481448358467625]], -1/25549926647943596675599717954252229836800000000000000000000, -1/25549926647943596675599717954252229836800000000000000000000, Yes, binomial_convolution_matches_the_declared_degree;the_general_addition_law_requires_all_degrees_plus_absolute_convergence_for_Cauchy_product_rearrangement)

The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.

This question review and source binding

Review date: 2026-10-26

Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.