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Proof step 3 from proof bflipset-subarray-erase-old-add (previous step)

n0 < # wlar, n0 < n, n < # wlar, n0 + 1 < # wlar, ∀ n1. n1 ∈ bflipset → n1 < n ∧ wlar[n1].status = used, n1 = n ∨ n1 ∈ bflipset ⊦ n1 = n0, ¬ n < n1 ∧ wlar[n, wl-entry(m0, used)][n1].status = used

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 4:
wlar[n, wl-entry(m0, used)][n1] = wl-entry(m, stat), n0 + 1 < # wlar, n < # wlar, n0 < n, n0 < # wlar, ∀ n1. n1 ∈ bflipset → n1 < n ∧ wlar[n1].status = used, n1 = n ∨ n1 ∈ bflipset ⊦ n1 = n0, ¬ n < n1 ∧ stat = used

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, wl-entry(m0, used)][n1], m, stat]

Additional information

Used simplifier rules: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat); (elim) Used terms: wlar[n, wl-entry(m0, used)][n1], m, stat