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Proof step 2 from proof unmodified-load-key-leaf (previous step)

iast[adr] = indexnode(brar, bv0, m), n < nused, unmodified(adr, mkznode(rp, zbrar, bv1, false, nused), iast), nused ≤ BRANCH_SIZE ⊦ load(brar[n]).key = zbrar[n].key

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
iast[adr] = indexnode(brar, bv1, nused), indexnode(brar, bv1, nused) = save(mkznode(rp, zbrar, bv1, false, nused)), n < nused, n < BRANCH_SIZE, adr ∈ iast, nused ≤ BRANCH_SIZE ⊦ load(brar[n]).key = zbrar[n].key

Rule argument

Additional information

Used simplifier rules: unmodified: ⊦ unmodified(adr, znd, iast) ↔ ¬ znd.dirty → adr ∈ iast ∧ iast[adr] = save(znd);% ⊦ BRANCH_SIZE ≠ 0; (s)% ⊦ m < n → n ≠ 0; (s)% ⊦ mkznode(r, zbrar, boolvar, boolvar0, m).usedsize = m; (s)% ⊦ mkznode(r, zbrar, boolvar, boolvar0, m).leaf ↔ boolvar; (s)%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%save-properties: ⊦ save(znd) = indexnode(brar, bv, n) → (bv ↔ znd.leaf) ∧ n = znd.usedsize; (forward) from specification znode-ops% ⊦ mkznode(r, zbrar, boolvar, boolvar0, m).dirty ↔ boolvar0; (s)