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Proof step 3 from proof unmodified-load-adr-node (previous step)

iast[adr] = indexnode(brar, bv1, nused + 1), indexnode(brar, bv1, nused + 1) = save(mkznode(rp, zbrar, bv1, false, nused + 1)), nused < BRANCH_SIZE, n < BRANCH_SIZE, adr ∈ iast, n ≤ nused ⊦ load(brar[n]).adr = zbrar[n].adr

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ save(znd) = indexnode(save(znd.zbranches, 0, znd.usedsize), znd.leaf, znd.usedsize)
Proof step 5:
iast[adr] = indexnode(brar, bv1, nused + 1), indexnode(brar, bv1, nused + 1) = indexnode (save(mkznode(rp, zbrar, bv1, false, nused + 1).zbranches, 0, mkznode(rp, zbrar, bv1, false, nused + 1).usedsize), mkznode(rp, zbrar, bv1, false, nused + 1).leaf, mkznode(rp, zbrar, bv1, false, nused + 1).usedsize), n < BRANCH_SIZE, nused < BRANCH_SIZE, adr ∈ iast, n ≤ nused ⊦ load(brar[n]).adr = zbrar[n].adr

Rule argument

spec: znode-ops name: save-node seq: ⊦ save(znd) = indexnode (save(znd.zbranches, 0, znd.usedsize), znd.leaf, znd.usedsize) subst: [znd] → [mkznode(rp, zbrar, bv1, false, nused + 1)] flags: <all paths>

Additional information

Used terms: mkznode(rp, zbrar, bv1, false, nused + 1)