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Proof step 46 from proof prepost-wl-free-max-below (previous step)

¬ boolvar ↔ below(free-ecs(wlar, # wlar), n) = ∅, wlar[m0] = wl-entry(m1, free), wlar[vtblpnum] = wl-entry(m, stat), m1 < n, m0 < # wlar, boolvar → vtblpnum < # wlar ∧ stat = free ∧ m = below(free-ecs(wlar, # wlar), n).max ⊦ vtblpnum < # wlar ∧ stat = free ∧ m = below(free-ecs(wlar), n).max

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 47:
⊦ free-ecs(wlar) = free-ecs(wlar, # wlar)
Proof step 48:
¬ boolvar ↔ below(free-ecs(wlar, # wlar), n) = ∅, wlar[vtblpnum] = wl-entry(m, stat), wlar[m0] = wl-entry(m1, free), m0 < # wlar, m1 < n, boolvar → vtblpnum < # wlar ∧ stat = free ∧ m = below(free-ecs(wlar, # wlar), n).max ⊦ vtblpnum < # wlar ∧ stat = free ∧ m = below(free-ecs(wlar, # wlar), n).max

Rule argument

spec: wlarray name: free-ecs seq: ⊦ free-ecs(wlar) = free-ecs(wlar, # wlar) subst: [wlar] → [wlar] flags: <all paths>

Additional information

Used terms: wlar