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Proof step 2 from proof at-save-out-upper (previous step)

n < BRANCH_SIZE, m + nused ≤ n ⊦ save(zbrar, m, nused)[n] = mkbrarray(BRANCH_SIZE)[n]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
m + nused < BRANCH_SIZE, n < BRANCH_SIZE, m + nused ≤ n ⊦ save(zbrar, m, nused)[n] = mkbrarray(BRANCH_SIZE)[n]

Rule argument

Additional information

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