Use nonpositive bounded integer n=-8. Give (n, in_positive_domain, mu_or_null, boundary).
G001 — Use nonpositive bounded integer n=-8. Give (n, in_positive_domain, mu_or_null, boundary).
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.
Keep the original historical interface marker while listing ordered source fields without JavaScript.Tags are not additional evidence;fixed No markers retain their source claim scope.
in_positive_domain=No;mu_or_null=null;do not apply positive-integer squarefree parity convention here
Conditions: none
This function is declared on positive integers.Zero and negatives are outside this model;null is not a value of0,nor a denial that other extensions can be defined.
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
(-8, No, null, Mobius_domain_positive_integers_only)
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.