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Proof step 3 from proof log-cons-drop (previous step)

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])

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 4:
log.toSet ∩ as = ∅, adr ∈ log, adr ∈ as, ∀ adr. adr ∈ log → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr]) ⊦ adr ∈ fs \ as ∧ node-cons((fs \ as)[adr].key, (fs \ as)[adr])
Proof step 12:
log.toSet ∩ as = ∅, adr ∈ log, ∀ adr. adr ∈ log → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr]) ⊦ adr ∈ as, adr ∈ fs \ as ∧ node-cons((fs \ as)[adr].key, (fs \ as)[adr])

Rule argument

fma: adr ∈ as

Additional information

Used formulas: adr ∈ as