Complete nonempty duplicate-free finite integer enumeration elements=[21, 71, -22], zero-based index=0. Give (index,element,enumeration_pairs,finite_enumeration_complete). Enumeration pairs are [position,element], not the reversed injection pairs.
G001 — Complete nonempty duplicate-free finite integer enumeration elements=[21, 71, -22], zero-based index=0. Give (index,element,enumeration_pairs,finite_enumeration_complete). Enumeration pairs are [position,element], not the reversed injection pairs.
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.
DECLARED complete finite integer set in original list order=[21, 71, -22];length=3
After
nonempty duplicate-free registered family;original order retained;empty-set countability not denied
Conditions: none
Completeness is the declared set premise,not inferred for an unknown universe from samples.Keep order and reject duplicates rather than sorting or deduplicating.The family's empty-list rejection is an interface limit,not denial of empty-set countability.
Read the original position and list every position-to-element pair.This finite enumeration supplies a finite and thus at-most-countable certificate,not countable infinitude.
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.