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Proof step 18 from proof delta-erase-worker-helper (previous step)

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

User applied rule insert elim lemma

And obtained the following new goals

Proof step 19:
ecs(wlar).max = n0 + m1, wlar[n] = wl-entry(m1, stat0), n < # wlar, UBI_ERASE_RETRIES < n0, m ≤ UBI_ERASE_RETRIES + 1, m ≤ n0 ⊦ n0 + (Δ wlar - n0) = Δ wlar, m = 0, n0 ≤ Δ wlar

Rule argument

spec: nat name: elim-sub seq: n ≤ m ⊦ n0 = m - n ↔ m = n0 + n subst: [n, m, n0] → [n0, Δ wlar, n1]

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%n ≤ m ⊦ n0 = m - n ↔ m = n0 + n; (elim) Used terms: n0, Δ wlar, n1