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Proof step 12 from proof prepost-wl-get-used-min (previous step)

wlar[m0].status = used, ¬ boolvar ↔ used-ecs(wlar, m0) = ∅, wlar[vtblpnum] = wl-entry(m, stat), m0 < # wlar, boolvar → vtblpnum < m0 ∧ stat = used ∧ m = used-ecs(wlar, m0).min, boolvar → vtblpnum < # wlar, ¬ boolvar ∨ wlar[m0].ec < m ⊦ wlar[m0].ec = used-ecs(wlar, m0 + 1).min ∧ used-ecs(wlar, m0 + 1) ≠ ∅

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 13:
¬ boolvar ↔ used-ecs(wlar, m0) = ∅, wlar[vtblpnum] = wl-entry(m, stat), wlar[m0] = wl-entry(m1, stat0), stat0 = used, m0 < # wlar, boolvar → vtblpnum < # wlar, boolvar → vtblpnum < m0 ∧ stat = used ∧ m = used-ecs(wlar, m0).min, ¬ boolvar ∨ m1 < m ⊦ m1 = used-ecs(wlar, m0 + 1).min ∧ used-ecs(wlar, m0 + 1) ≠ ∅

Rule argument

spec: wlentry name: elim-02 seq: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat) subst: [wle, m, stat] → [wlar[m0], m1, stat0]

Additional information

Used simplifier rules: ⊦ m = wle.ec ∧ stat = wle.status ↔ wle = wl-entry(m, stat); (elim) Used terms: wlar[m0], m1, stat0