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Proof step 7 from proof at-load (previous step)

n = n0 +1, m + nused0 < BRANCH_SIZE, n ≤ nused0, ∀ n, m, brar. n < nused0 ∧ m + nused0 ≤ BRANCH_SIZE → load(brar, m, nused0)[m + n] = load(brar[m + n]) ⊦ load(brar, m + 1, nused0)[m, load(brar[m])][m + n] = load(brar[m + n])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
n0 < nused0, m + nused0 < BRANCH_SIZE, ∀ n, m, brar. n < nused0 ∧ m + nused0 ≤ BRANCH_SIZE → load(brar, m, nused0)[m + n] = load(brar[m + n]) ⊦ load(brar, m + 1, nused0)[m + n0 + 1] = load(brar[m + n0 + 1])

Rule argument

Additional information

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