Question 5526: Complete Mapping Mismatch Indices and Ordered Values

Original question and givens

The complete total map f:Fin(0)→Fin(0) has images=[] indexed from 0; Fin(0)=∅. Every table entry must lie in the target type. A second complete total map g on the same types has other=[]. Give (increasing mismatch indices, aligned [f(i),g(i)] value pairs).

• G001 — The complete total map f:Fin(0)→Fin(0) has images=[] indexed from 0; Fin(0)=∅. Every table entry must lie in the target type. A second complete total map g on the same types has other=[]. Give (increasing mismatch indices, aligned [f(i),g(i)] value 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.

• mko-function-mapping

Step-by-step derivation

f:Fin(0)→Fin(0);source indices start at0

complete total map,not a partial program function

([], [])

functions equal on the full source=Yes

Reverse checks

• 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.

Result

([], [])

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.