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Proof step 17 from proof delta-erase-worker-helper (previous step)

ecs(wlar).max = n0 + m1, wlar[n] = wl-entry(m1, stat0), m1 < ecs(wlar).max, n < # wlar, m1 + UBI_ERASE_RETRIES < ecs(wlar).max, m1 + m ≤ ecs(wlar).max, m ≤ UBI_ERASE_RETRIES + 1, m1 ≤ ecs(wlar).max ⊦ ecs(wlar).max + (Δ wlar - n0) = m1 + Δ wlar, m = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
ecs(wlar).max = n0 + m1, wlar[n] = wl-entry(m1, stat0), UBI_ERASE_RETRIES < n0, n < # wlar, m ≤ n0, m ≤ UBI_ERASE_RETRIES + 1 ⊦ n0 + (Δ wlar - n0) = Δ wlar, m = 0

Rule argument

Additional information

Used simplifier rules: le-one: ⊦ m ≤ n + 1 ∧ n < n0 → m ≤ n0; (forward) from specification nat% ⊦ m = m0 + n0 ∧ n < n0 → m0 + n < m; (s)% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)% ⊦ m + n < m + n0 ↔ n < n0; (s)% ⊦ m < m + n ↔ n ≠ 0; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + n = m + n0 ↔ n = n0; (s)% ⊦ m < n → n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m < n → m ≤ n; (s)