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R0016-08662 · q-20260917-explicit-incidence-language-0012
Explicit incidence data: P12 does not lie on l12. Is P12 incident with l12?
G001 — Explicit incidence data: P12 does not lie on l12. Is P12 incident with l12?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.
Before
explicit typed incidence data;no coordinate or visual premise supplied
After
read the stated predicate;absence of a premise is not its negation
Conditions: none
Read the explicit geometric premise without inferring from appearance.An absent premise is not a negative premise;do not invent coordinates or equations.
Rule: declared_geometry_not_visual_inference · Uses: G001
Before
point=P12;line=l12;declared on=No
After
incident=No
Conditions: none
Here a point is incident with the line exactly when it lies on it.An explicit not-on premise gives nonincidence;retain the original labels.
Rule: incidence_definition_from_explicit_premise · Uses: G001, S001
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.No
The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.
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.
input commit: 0f7be61e2c22317a4075561dc822c87d881a50dboriginal question SHA-256: 2758bd2193fb1666a000bd16da50c6486cecfe9814d508cb8d5a33b32713fb09candidate record SHA-256: 3147d56dedd0bc9ca61ba1e25642175ec90090b6a2671cfdbb6d08d26ac2d3a4semantic review receipt SHA-256: 00fcddb10a9fb0f56697308976a52e68e2537472bd8e68ecbe96d3c4553f4ad2question-first witness SHA-256: 198e04380b2d32aef2375b07ca0df1f8afa454d1184993173fad8a3c9187a3d1Lean: NOT_RUN · human review: NOT_PERFORMED