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Proof step 2 from proof range-load-save (previous step)

# zbrar = BRANCH_SIZE, n < nused, nused ≤ # zbrar ⊦ key-range(load(save(zbrar, 0, nused), 0, nused), n, nused, ri) = key-range(zbrar, n, nused, ri)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
# zbrar = BRANCH_SIZE, n < nused, n < BRANCH_SIZE, nused ≤ BRANCH_SIZE ⊦ key-range(load(save(zbrar, 0, nused), 0, nused), n, nused, ri) = key-range(zbrar, n, nused, ri)

Rule argument

Additional information

Used simplifier rules: ⊦ BRANCH_SIZE ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ m < n → n ≠ 0; (s)%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic