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Proof step 8 from proof delta-write-same (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 9:
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))

Rule argument

spec: wlentry name: elim-02 seq: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat) subst: [wle, m, stat] → [wlar[n], m, stat0]

Additional information

Used simplifier rules: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat); (elim) Used terms: wlar[n], m, stat0