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Proof step 6 from proof log-cons-drop (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
log.toSet ∩ as = ∅, adr ∈ fs, adr ∈ log, adr ∈ as, ∀ adr. adr ∈ log → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr]) ⊦ # as = 0, as = ∅

Rule argument

Additional information

Used simplifier rules: ⊦ adr ∈ fs \ as ↔ adr ∈ fs ∧ ¬ adr ∈ as; (ws)