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R0018-09996 · q-20261013-advance-20261019-r07-lean-proof-term-0071
Use the synthetic small propositional calculus or synthetic receipt specified here, not actual Lean execution. The original source pulse did not run Lean builds for these questions. A statement, tactic log and kernel-checked proof are different obligations. statement_ready=false, tactic_finished=false, term_present=true, unresolved_goals=20. Give (those three flags, goal count, tactic finished with zero goals?, term candidate?, kernel checked?, no-kernel receipt boundary). The kernel flag remains false in this protocol.
G001 — Use the synthetic small propositional calculus or synthetic receipt specified here, not actual Lean execution. The original source pulse did not run Lean builds for these questions. A statement, tactic log and kernel-checked proof are different obligations. statement_ready=false, tactic_finished=false, term_present=true, unresolved_goals=20. Give (those three flags, goal count, tactic finished with zero goals?, term candidate?, kernel checked?, no-kernel receipt boundary). The kernel flag remains false in this protocol.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
synthetic proposition/term calculus or supplied synthetic receipt
After
no actual Lean build,source-digest check or kernel acceptance
Conditions: none
Apply only the specified small calculus or synthetic receipt protocol.Statement,tactic completion,term presence and kernel acceptance are separate.No Lean is run and the teaching guide is not promoted to a formal proof.
Rule: synthetic_proofterm_not_actual_kernel · Uses: G001
Before
statement ready=No;tactic finished=No;term present=Yes;unresolved goals=20
After
tactic complete=No;term candidate=No;kernel checked=No
Conditions: none
A tactic is complete only if finished with zero goals.A candidate additionally needs a ready statement and a term.The protocol's kernel flag remains false;there is no real kernel receipt.
Rule: tactic_candidate_is_not_kernel_receipt · 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, No, Yes, 20, No, No, No, no-kernel receipt)
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: d0301b6ed2badd7bfcb7a561b84642a59507df6318812a8736ba55d7059408a8candidate record SHA-256: 0768a8f3bc18a60b17edcadb327e0be64ba915666b489aec9e971fe481614fbesemantic review receipt SHA-256: bd35da62087a15d6b89b45585dc46e89b9efbe097cba7b3c707b5030496f013cquestion-first witness SHA-256: fab45a10d8ac95c7d61d32e47d1bdd3ca862c17c3289a6bf4b01d4dc9492fbb6Lean: NOT_RUN · human review: NOT_PERFORMED