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R0010-05751 · q-20261008-advance-20261012-r03-proposition-0026
In the classical integer context, consider x≤-2 with assignment=null (unbound). Give (is the sentence closed?, its bound truth value or open, substitution difference or not-applicable).
G001 — In the classical integer context, consider x≤-2 with assignment=null (unbound). Give (is the sentence closed?, its bound truth value or open, substitution difference or not-applicable).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
classical integer formulas with explicit binding/data
After
a truth verdict is not a delivered general proof object
Conditions: none
A false closed statement is still a proposition.These finite substitutions and comparison witnesses do not promote a truth label to a general formal proof or completeness of arbitrary inference rules.
Rule: proposition_truth_and_proof_scope · Uses: G001
Before
formula x≤-2;assignment=null
After
no bound integer for x;leave truth and numeric difference inapplicable
Conditions: none
No x binding is supplied in this protocol;do not assign a fixed truth value or silently add a universal quantifier.Unbound is not False,and null is not0.
Rule: unbound_formula_not_false · 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.(No, open, not-applicable)
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: 0213658fad3206e7b0ee2063567e34f2c15c4d2cf79a36b1187d7704aa0d11e5candidate record SHA-256: f7b979d81aef8dff8b5a7cbe7b7d6557c3584392e4a5f30e60fd3ed3fbe8ae26semantic review receipt SHA-256: 0328166a2e335aac7a5fb34556e68c80ba7d16612e822b3999c8ac348a9ca06fquestion-first witness SHA-256: 0da18e4e6cf71ece5ec5f00dd0cd161217b6d251672bc0b46d79fe7e6253f5fcLean: NOT_RUN · human review: NOT_PERFORMED