Question 5651: Finite Predicate Extension and Aligned Truths

Original question and givens

Finite integer set U=[]; P(x) means x≥0. Normalize U increasingly, then give (complete satisfying extension A, truth list aligned to sorted U).

• G001 — Finite integer set U=[]; P(x) means x≥0. Normalize U increasingly, then give (complete satisfying extension A, truth list aligned to sorted U).

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-set-membership

Step-by-step derivation

declared finite type or bounded integer universe

membership truth is distinct from eligibility to ask the question

normalized U=[];truths=[]

A={x∈U:P(x)}=[]

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.