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Proof step 15 from proof delta-erase-worker-helper (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
wlar[n] = wl-entry(m1, stat0), m1 + UBI_ERASE_RETRIES < ecs(wlar).max, n < # wlar, m1 < ecs(wlar).max, m ≤ UBI_ERASE_RETRIES + 1, m1 + m ≤ ecs(wlar).max ⊦ ecs(wlar).max + (Δ wlar - (ecs(wlar).max - m1)) = m1 + Δ wlar, m = 0

Rule argument

Additional information

Used simplifier rules: ⊦ wl-entry(m, stat).ec = m; (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)%n ≤ m ⊦ (m - n) + n0 = n1 ↔ m + n0 = n + n1; (s)% ⊦ m ≤ n → (n < m ↔ false); (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)