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Proof step 28 from proof unmodified-payload (previous step)

BRANCH_SIZE = # zbrar, iast[adr] = indexnode(brar, bv1, nused), indexnode(brar, bv1, nused) = save(mkznode(rp, zbrar, bv1, false, nused)), sorted(zbrar, 0, nused), adr ∈ iast, nused ≤ BRANCH_SIZE, 0 + nused ≤ # load(brar, 0, nused) ⊦ (∃ n. n < nused ∧ load(brar, 0, nused)[0 + n].entry? ∧ load(brar, 0, nused)[0 + n].key = key) ↔ key ∈ payload(zbrar, 0, nused)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 29:
BRANCH_SIZE = # zbrar, iast[adr] = indexnode(brar, bv1, nused), indexnode(brar, bv1, nused) = save(mkznode(rp, zbrar, bv1, false, nused)), sorted(zbrar, 0, nused), adr ∈ iast, nused ≤ BRANCH_SIZE ⊦ (∃ n. n < nused ∧ load(brar[n]).entry? ∧ load(brar[n]).key = key) ↔ key ∈ payload(zbrar, 0, nused)

Rule argument

Additional information

Used simplifier rules: ⊦ # load(brar, m, nused) = BRANCH_SIZE; (s)%n < nused, nused ≤ BRANCH_SIZE ⊦ load(brar, 0, nused)[n] = load(brar[n]); (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)