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.
Legacy banks enforce their exact source keys/operation/domain.BASE integers retain metadata without treating it as an oracle.Distinguish NUMBER,string,fraction pair and vector equality formats;retain original bilingual data/AST/status.
Integer opposite ORIGINAL zero minus n := sub(0, -13)
After
Integer opposite ORIGINAL zero minus n = 13
Conditions: none
Use ORIGINAL operands/order for exact integer/rational arithmetic.RAW bounds are bank-specific;derived values are not SAFE-recapped or approximated.Do not import legacy caps into BASE integers.
Integer opposite reverse ORIGINAL n plus opposite := sum(-13, 13)
After
Integer opposite reverse ORIGINAL n plus opposite = 0
Conditions: none
Use ORIGINAL operands/order for exact integer/rational arithmetic.RAW bounds are bank-specific;derived values are not SAFE-recapped or approximated.Do not import legacy caps into BASE integers.
Compute0−n,then add it to ORIGINAL n to verify0;also verify the supplied opposite.Zero has opposite0.This is neither reciprocal nor absolute value;retain the original NUMBER answer type.
S004 · premise_and_result_audit — Reverse-check ORIGINAL data,field roles,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
S003 · premise_and_result_audit — Recompute Integer opposite reverse ORIGINAL n plus opposite with exact rational arithmetic, not rounded decimals.
S002 · premise_and_result_audit — Recompute Integer opposite ORIGINAL zero minus n with exact rational arithmetic, not rounded decimals.
S001 · premise_and_result_audit — Reverse-check ORIGINAL data,field roles,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
Result
13
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.