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Proof step 16 from proof delta-erase-worker-helper (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 17:
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

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [m, n, n0] → [ecs(wlar).max, m1, n0]

Additional information

Used simplifier rules: ⊦ m < n → m ≤ n; (s)%n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: ecs(wlar).max, m1, n0