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Proof step 2 from proof log-cons-drop (previous step)

log.toSet ∩ as = ∅, log-cons(log, fs) ⊦ log-cons(log, fs \ as)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
log.toSet ∩ as = ∅, adr ∈ log, ∀ adr. adr ∈ log → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr]) ⊦ adr ∈ fs \ as ∧ node-cons((fs \ as)[adr].key, (fs \ as)[adr])

Rule argument

Additional information

Used simplifier rules: log-cons: ⊦ log-cons(log, fs) ↔ (∀ adr. adr ∈ log → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr]));