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Proof step 3 from proof unmodified-clean-leaf (previous step)

iast[adr] = save(mkznode(rp1, zbrar1, bv1, false, nused1)), iast[adr] = save(mkznode(rp0, zbrar0, bv0, false, nused0)), adr ∈ iast ⊦ (bv0 ↔ bv1) ∧ nused0 = nused1

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)

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(rp0, zbrar0, bv0, false, nused0)] flags: <all paths>

Additional information

Used simplifier rules: ⊦ mkznode(r, zbrar, boolvar, boolvar0, m).zbranches = zbrar; (s)% ⊦ mkznode(r, zbrar, boolvar, boolvar0, m).usedsize = m; (s)% ⊦ mkznode(r, zbrar, boolvar, boolvar0, m).leaf ↔ boolvar; (s)%save-properties: ⊦ save(znd) = indexnode(brar, bv, n) → (bv ↔ znd.leaf) ∧ n = znd.usedsize; (forward) from specification znode-ops Used terms: mkznode(rp0, zbrar0, bv0, false, nused0)