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Proof step 21 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 ⊦ stat = free ∧ (¬ boolvar ∨ m < n), (boolvar → n = free-ecs(wlar, m0 + 1).min) ∧ (¬ boolvar ↔ free-ecs(wlar, m0 + 1) = ∅)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: wlarray name: free-ecs-rec seq: ⊦ n < # wlar → free-ecs(wlar, n + 1) = (wlar[n].status = free ⊃ free-ecs(wlar, n) ++ wlar[n].ec ;free-ecs(wlar, n) ) subst: [n, wlar] → [m0, wlar] flags: <all paths>

Additional information

Used terms: m0, wlar