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Proof step 23 from proof prepost-wl-get-free-min (previous step)

¬ boolvar ↔ free-ecs(wlar, m0) = ∅, wlar[m0] = wl-entry(m, stat), m0 < # wlar, boolvar → n = free-ecs(wlar, m0).min ⊦ (boolvar → n = (wlar[m0].status = free ⊃ free-ecs(wlar, m0) ++ wlar[m0].ec;free-ecs(wlar, m0)).min) ∧ (¬ boolvar ↔ (wlar[m0].status = free ⊃ free-ecs(wlar, m0) ++ wlar[m0].ec;free-ecs(wlar, m0)) = ∅), stat = free ∧ (¬ boolvar ∨ m < n)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 24:
¬ boolvar ↔ free-ecs(wlar, m0) = ∅, wlar[m0] = wl-entry(m, stat), m0 < # wlar, boolvar → n = free-ecs(wlar, m0).min ⊦ stat = free ∧ (¬ boolvar ∨ m < n), (boolvar → n = (stat = free ⊃ free-ecs(wlar, m0) ++ m;free-ecs(wlar, m0)).min) ∧ (¬ boolvar ↔ (stat = free ⊃ free-ecs(wlar, m0) ++ m;free-ecs(wlar, m0)) = ∅)

Rule argument

Additional information

Used simplifier rules: ⊦ wl-entry(m, stat).ec = m; (s)% ⊦ wl-entry(m, stat).status = stat; (s)