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Proof step 4 from proof at-save-out-upper (previous step)

n < BRANCH_SIZE, m + nused0 +1 < BRANCH_SIZE, m + nused0 +1 ≤ n, ∀ m, n, zbrar. m + nused0 < BRANCH_SIZE ∧ n < BRANCH_SIZE ∧ m + nused0 ≤ n → save(zbrar, m, nused0)[n] = mkbrarray(BRANCH_SIZE)[n] ⊦ save(zbrar, m, nused0 +1)[n] = mkbrarray(BRANCH_SIZE)[n]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
m + nused0 < BRANCH_SIZE, m + nused0 + 1 < BRANCH_SIZE, m + nused0 < n, n < BRANCH_SIZE, (m + nused0) + 1 < BRANCH_SIZE, ∀ m, n, zbrar. m + nused0 < BRANCH_SIZE ∧ n < BRANCH_SIZE ∧ m + nused0 ≤ n → save(zbrar, m, nused0)[n] = mkbrarray(BRANCH_SIZE)[n] ⊦ save(zbrar, m, nused0 + 1)[n] = mkbrarray(BRANCH_SIZE)[n]

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%trans: ⊦ n < n0 ∧ n0 < n1 → n < n1; (forward) from specification nat-basic%lf: ⊦ m < n ∧ n < n0 → m +1 < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m + 1 ≤ n ↔ m < n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m +1 = m + 1; (s)