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Proof step 3 from proof payload-save-load-same (previous step)

# zbrar = BRANCH_SIZE, nused ≤ BRANCH_SIZE ⊦ payload(load(save(zbrar, 0, nused), 0, nused), 0, nused) = payload(zbrar, 0, nused), # load(save(zbrar, 0, nused), 0, nused) = # zbrar ∧ 0 + nused ≤ # load(save(zbrar, 0, nused), 0, nused) ∧ # load(save(zbrar, 0, nused), 0, nused) = BRANCH_SIZE ∧ save(load(save(zbrar, 0, nused), 0, nused), 0, nused) = save(zbrar, 0, nused)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
# zbrar = BRANCH_SIZE, nused ≤ BRANCH_SIZE ⊦ payload(load(save(zbrar, 0, nused), 0, nused), 0, nused) = payload(zbrar, 0, nused), save(load(save(zbrar, 0, nused), 0, nused), 0, nused) = save(zbrar, 0, nused)

Rule argument

Additional information

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