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Proof step 5 from proof save-load-save (previous step)

m + nused ≤ BRANCH_SIZE ⊦ # save(load(save(zbrar, m, nused), m, nused), m, nused) = # save(zbrar, m, nused) ∧ (∀ n. n < # save(load(save(zbrar, m, nused), m, nused), m, nused) → save(load(save(zbrar, m, nused), m, nused), m, nused)[n] = save(zbrar, m, nused)[n])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
n < BRANCH_SIZE, m + nused ≤ BRANCH_SIZE ⊦ save(load(save(zbrar, m, nused), m, nused), m, nused)[n] = save(zbrar, m, nused)[n]

Rule argument

Additional information

Used simplifier rules: save-size: ⊦ # save(zbrar, m, nused) = BRANCH_SIZE;% ⊦ BRANCH_SIZE ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic