Explore related knowledge and questions →
← Question derivation index · Original question batch
R0007-04426 · q-20261008-advance-20261010-r02-set-operations-0026
Finite integer sets A=[] and B=[]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.
G001 — Finite integer sets A=[] and B=[]; repeated elements count once. List (A\B)∪(B\A) in increasing order without repetition.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.
Before
raw A=[];raw B=[]
After
A=[];B=[]
Conditions: none
Deduplicate and numerically sort integer sets;repetition and input order do not change membership.The original lists remain retained.
Rule: finite_set_extensionality · Uses: G001
Before
A\B=[];B\A=[]
After
[]
Conditions: none
Retain elements belonging to exactly one side;shared elements must be excluded,unlike ordinary union.
Rule: symmetric_difference_exclusive_membership · Uses: G001, S001
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.[]
The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.
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.
input commit: 0f7be61e2c22317a4075561dc822c87d881a50dboriginal question SHA-256: 2970c4626ffcbe3db6157f3fccf632dbd979d5df2d90626f3bff545bd7d5ca26candidate record SHA-256: 1f2386d31f331f90067a4453ad296711e1dc0f01bbb66e09eb917881289c326asemantic review receipt SHA-256: faf0582c0184613e6fae207374056133eae600883a29c67d8438113bbe3c485aquestion-first witness SHA-256: 4b283b6ff424b1d22caa36f3552b0fa21b1b66a0a883d7cbe9cedc8dd77b2e42Lean: NOT_RUN · human review: NOT_PERFORMED