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Proof step 24 from proof btree-inv-format (previous step)

⊦ nodes((∅)[n, indexblock(indexnode(mkbrarray(BRANCH_SIZE), true, 0) ', @(m0, m1) ', m1)])[@(n, m0, m1)] = save(mkznode(null, mkzbrarray(BRANCH_SIZE), true, false, 0)), r = null

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 25:
⊦ save(znd) = indexnode(save(znd.zbranches, 0, znd.usedsize), znd.leaf, znd.usedsize)
Proof step 26:
⊦ nodes((∅)[n, indexblock(indexnode(mkbrarray(BRANCH_SIZE), true, 0) ', @(m0, m1) ', m1)])[@(n, m0, m1)] = indexnode (save(mkznode(null, mkzbrarray(BRANCH_SIZE), true, false, 0).zbranches, 0, mkznode(null, mkzbrarray(BRANCH_SIZE), true, false, 0).usedsize), mkznode(null, mkzbrarray(BRANCH_SIZE), true, false, 0).leaf, mkznode(null, mkzbrarray(BRANCH_SIZE), true, false, 0).usedsize), r = null

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(null, mkzbrarray(BRANCH_SIZE), true, false, 0)] flags: <all paths>

Additional information

Used terms: mkznode(null, mkzbrarray(BRANCH_SIZE), true, false, 0)