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Proof step 9 from proof log-cons-drop (previous step)

adr ∈ as, adr ∈ log, adr ∈ fs, ∀ adr. adr ∈ log → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr]), ∀ adr. adr ∈ log.toSet ∩ as ↔ adr ∈ ∅ ⊦ # as = 0, as = ∅

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
adr ∈ fs, adr ∈ log, adr ∈ as, ∀ adr. adr ∈ log → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr]), ∀ adr0. ¬ adr0 ∈ log.toSet ∩ as ⊦ # as = 0, as = ∅

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ adr ∈ ∅; (s)