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Proof step 9 from proof delta-write-same (previous step)

wlar[n] = wl-entry(m, stat0), # wlar ≤ n ⊦ sum-of-differences(ecs(wlar[n, wl-entry(m, stat)]).max, ecs(wlar[n, wl-entry(m, stat)])) = sum-of-differences(ecs(wlar).max, ecs(wlar))

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: ecs-write seq: ⊦ ecs(wlar[m, wle]) = (m < # wlar ⊃ (ecs(wlar) -- wlar[m].ec) ++ wle.ec ;ecs(wlar) ) subst: [wle, m, wlar] → [wl-entry(m, stat), n, wlar] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m ≤ n → (n < m ↔ false); (s) Used terms: wl-entry(m, stat), n, wlar