Let A={81, 82, 83, 84} be an explicitly enumerated finite set. Does 82 satisfy 82∈A?
G001 — Let A={81, 82, 83, 84} be an explicitly enumerated finite set. Does 82 satisfy 82∈A?
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.
BASE sources do not acquire a generic legacy operation/domain or unknown-metadata ban.Retain metadata WITHOUT using it as an answer oracle.PULSE/legacy enforce their exact source keys,operation/domain.Do not impose universal tuples,/1 or input bounds.
Compare EVERY ORIGINAL enumerated atom with the query by type/value.Do not identify False with0 or coerce numeric strings,and do not reject repeated enumeration.Distinct JSON reference nodes do not become the same JS object by deep equality.
Compare EVERY ORIGINAL enumerated atom with the query by type/value.Do not identify False with0 or coerce numeric strings,and do not reject repeated enumeration.Distinct JSON reference nodes do not become the same JS object by deep equality.
Compare EVERY ORIGINAL enumerated atom with the query by type/value.Do not identify False with0 or coerce numeric strings,and do not reject repeated enumeration.Distinct JSON reference nodes do not become the same JS object by deep equality.
Compare EVERY ORIGINAL enumerated atom with the query by type/value.Do not identify False with0 or coerce numeric strings,and do not reject repeated enumeration.Distinct JSON reference nodes do not become the same JS object by deep equality.
Yes requires an ACTUAL match;No requires all comparisons false.Retain scenario/other metadata WITHOUT treating it as a truth oracle.Do not import another set bank uniqueness/SAFE/integer restriction.This frozen slice uses small integers,not universal unsafe-JS certification.
S006 · premise_and_result_audit — Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
S005 · premise_and_result_audit — Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
S004 · premise_and_result_audit — Reverse-check ORIGINAL inputs,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 — Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
S002 · premise_and_result_audit — Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
S001 · premise_and_result_audit — Reverse-check ORIGINAL inputs,types,domain and premises;the conclusion need not uniquely recover its premises.Keep source-bound candidates,independent review,formal proof and publication separate.
Result
Yes
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.