proof(merkle): Stage 1.1 — buildMerkleTree/getLeafHash soundness (re-land after #46)#47
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… (Stage 1.1)
buildGetLeaf : {n} -> (hs : Vect (power 2 n) HashBytes) -> (i : Fin (power 2 n)) -> getLeafHash (buildMerkleTree hs) (finToNat i) = Just (index i hs). Total, machine-checked, no believe_me/assert/postulate/holes; whole package builds under --total.
New Ochrance.Util.VectLemmas (indexAppendLeft/Right, indexReplace transport-cancellation, finToNatReplace, splitAtConcat) and Ochrance.Filesystem.MerkleBuild (buildGetLeaf + buildGetLeafSplit + compareNat bridge lemmas). The replace/powerTwoSucc transport is discharged by indexReplace; split halves by indexAppend*; the Bool 'idx < power 2 k' branch via compareNat (the Ord Nat default, not Data.Nat.lt). Merkle.idr: powerTwoSucc + getLeafHash export->public export (visibility only, no logic change).
https://claude.ai/code/session_011z2t8zAxfcCNLJzU7YdpBQ
hyperpolymath
enabled auto-merge (squash)
June 15, 2026 17:55
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Re-land of the Stage 1.1 proof (PR #46's merge dropped it)
PR #46 squash-merged at its helpers-only state (
03ce34f) — the follow-up commit carrying the actual proof wasn't included, sobuildGetLeaf+MerkleBuildnever reachedmain(andScratch.idrlanded orphaned, not even in the ipkg). This re-lands the verified proof cleanly on top of currentmain:buildGetLeaf(Ochrance.Filesystem.MerkleBuild):getLeafHash (buildMerkleTree hs) (finToNat i) = Just (index i hs)— total, machine-checked, nobelieve_me/assert_*/postulate/holes; builds under--total.Ochrance.Util.VectLemmas(the orphanScratch.idr, renamed + SPDX):indexAppendLeft/Right,indexReplace(transport cancellation),finToNatReplace,splitAtConcat.Merkle.idr:powerTwoSucc+getLeafHashexport→public export(visibility only, no logic change).ochrance.ipkg: registers the two new modules (which proof(merkle): Stage 1 — buildMerkleTree correctness (WIP) #46 dropped).The flagged
replace/powerTwoSucctransport wall was cleared with nobuildMerkleTreereshape. Verified locally on idris2 0.8.0:idris2 --build ochrance.ipkg→ 19/19, exit 0.https://claude.ai/code/session_011z2t8zAxfcCNLJzU7YdpBQ
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