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Proof step 50 from proof prepost-wl-free-max-below (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 51:
⊦ ns = ns0 ↔ (∀ n. n ∈ ns ↔ n ∈ ns0)
Proof step 52:
wlar[m0] = wl-entry(m1, free), wlar[vtblpnum] = wl-entry(m, stat), m1 < n, m0 < # wlar, ∀ n0. n0 ∈ below(free-ecs(wlar, # wlar), n) ↔ n0 ∈ ∅ ⊦ vtblpnum < # wlar ∧ stat = free ∧ m = ∅.max

Rule argument

spec: set-basic, inst: nat-set name: Extension seq: ⊦ ns = ns0 ↔ (∀ n. n ∈ ns ↔ n ∈ ns0) subst: [ns0, ns] → [∅, below(free-ecs(wlar, # wlar), n)] flags: <all paths>

Additional information

Used terms: ∅, below(free-ecs(wlar, # wlar), n)