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Proof step 34 from proof prepost-wl-get-used-min (previous step)

¬ boolvar ↔ used-ecs(wlar, # wlar) = ∅, boolvar → vtblpnum < # wlar ∧ wlar[vtblpnum].status = used ∧ wlar[vtblpnum].ec = used-ecs(wlar, # wlar).min ⊦ (boolvar → vtblpnum < # wlar ∧ wlar[vtblpnum].status = used ∧ wlar[vtblpnum].ec = used-ecs(wlar).min) ∧ (¬ boolvar ↔ used-ecs(wlar) = ∅)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 35:
¬ boolvar ↔ used-ecs(wlar, # wlar) = ∅, wlar[vtblpnum] = wl-entry(m, stat), boolvar → vtblpnum < # wlar ∧ stat = used ∧ m = used-ecs(wlar, # wlar).min ⊦ (boolvar → vtblpnum < # wlar ∧ stat = used ∧ m = used-ecs(wlar).min) ∧ (¬ boolvar ↔ used-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[vtblpnum], m, stat]

Additional information

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