In the rational setting, the fixed factor is k=-1. Does the explicit point (x,y)=(1,0) satisfy y=kx? Check only this point.
G001 — In the rational setting, the fixed factor is k=-1. Does the explicit point (x,y)=(1,0) satisfy y=kx? Check only this point.
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.
Check THIS bank’s keys/operation/domain:legacy table underscores,MOD50 local hyphens;permissive BASE data acquires no unknown-field restriction.Keep Number.isInteger and SAFE source guards distinct,while preserving ORIGINAL JSON number representations.
Proportion ORIGINAL fixed factor times point x := mul(-1, 1)
After
Proportion ORIGINAL fixed factor times point x = -1
Conditions: none
Calculate exactly from ORIGINAL ordered operands.Legacy derived integers are not recapped at the RAW SAFE bound;MOD50 rationals separately retain the NAIVE pre-reduction source envelope.
Check ONLY THIS point against y=kx.Zero k or x is allowed.One passing point does not establish proportionality for other inputs,nor does x=0 determine a unique factor.
S003 · premise_and_result_audit — Reverse-audit THIS step against the ORIGINAL roles,complete premises and field order.Distinguish implication from equivalence;preserve originals,English,MKOs,ASTs and review states.Finite checks are not independent review or general formal proof.
S002 · premise_and_result_audit — Recompute Proportion ORIGINAL fixed factor times point x with exact rational arithmetic, not rounded decimals.
S001 · premise_and_result_audit — Reverse-audit THIS step against the ORIGINAL roles,complete premises and field order.Distinguish implication from equivalence;preserve originals,English,MKOs,ASTs and review states.Finite checks are not independent review or general formal proof.
Result
No
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.