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Proof step 37 from proof ecs-n-write (previous step)

n0 < # wlar, n0 < m, ∀ wlar, m, wle. n0 ≤ # wlar → ecs(wlar[m, wle], n0) = (m < n0 ⊃ (ecs(wlar, n0) -- wlar[m].ec) ++ wle.ec;ecs(wlar, n0)) ⊦ ecs(wlar[m, wle], n0 + 1) = ecs(wlar, n0) ++ wlar[n0].ec

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 38:
wlar[n0] = wl-entry(m0, stat), n0 < m, n0 < # wlar, ∀ wlar, m, wle. n0 ≤ # wlar → ecs(wlar[m, wle], n0) = (m < n0 ⊃ (ecs(wlar, n0) -- wlar[m].ec) ++ wle.ec;ecs(wlar, n0)) ⊦ ecs(wlar[m, wle], n0 + 1) = ecs(wlar, n0) ++ m0

Rule argument

spec: wlentry name: elim-02 seq: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat) subst: [wle, m, stat] → [wlar[n0], m0, stat]

Additional information

Used simplifier rules: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat); (elim) Used terms: wlar[n0], m0, stat