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mrwulf
8795e82865
The single hardest proof in the corpus is complete, no sorry. Under the value-equality invariant y = MTH D₁, an accepting ConsRec fold either makes extractConsNode output a genuine collision or its first component is the honest prefix root MTH(D₁.take n₀). - ConsRec base changed from list-match to decidable if (if C=[] / if C.length=1) — same root-cause fix as Root, avoids WF-unfold exhaustiveness obligations; more faithful to the deployed Python. Whole chain (Basic..Consistency) rebuilt clean. - consRecBinding by ConsRec.induct (10 cases): 4 base/singleton, 3 rejection/none contradictions, 2 recursive (n₀≤k, n₀>k). The n₀>k none-branch is where all S5.1 infrastructure interlocks: kbelow_prefix_eq (prefix splits at same k) + take_take_le + take_drop_prefix assemble x = hnode s xx into MTH(D₁.take n₀). The collision branches use append_inj (fixed-width Hash) + MTH_split. - take_all helper (take-whole-list). Cone [propext, Classical.choice, LTLAcc.sha256, Quot.sound] — single hash axiom. 24 certs green. Fable statement-audit: matches paper Thm 3 steps 1-2. LTL untouched (12 leaves, bcd15f9d). Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
31 lines
1 KiB
Text
31 lines
1 KiB
Text
/- Axiom-cone observation for the audit (Phase 3 of check.sh). -/
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import Proofs.Basic
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import Proofs.Completeness
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import Proofs.Extract
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import Proofs.Descent
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import Proofs.Consistency
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import Proofs.Binding3
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#print axioms LTLAcc.domsep
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#print axioms LTLAcc.kbelow_pos
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#print axioms LTLAcc.kbelow_lt
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#print axioms LTLAcc.le_two_kbelow
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#print axioms LTLAcc.kbelow_pow2
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#print axioms LTLAcc.MTH
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#print axioms LTLAcc.Root
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#print axioms LTLAcc.ConsRec
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#print axioms LTLAcc.Path
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#print axioms LTLAcc.incl_complete
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#print axioms LTLAcc.hnode_preimage_inj
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#print axioms LTLAcc.IsCollision
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#print axioms LTLAcc.extractIncl
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#print axioms LTLAcc.extractIncl_correct
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#print axioms LTLAcc.extractIncl_nonvacuous
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#print axioms LTLAcc.extractMTH
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#print axioms LTLAcc.extractMTH_correct
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#print axioms LTLAcc.extractMTH_nonvacuous
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#print axioms LTLAcc.kbelow_prefix_eq
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#print axioms LTLAcc.take_take_le
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#print axioms LTLAcc.take_drop_prefix
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#print axioms LTLAcc.extractConsNode
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#print axioms LTLAcc.take_all
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#print axioms LTLAcc.consRecBinding
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