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Proof step 5 from proof log-cons-drop (previous step)

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

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 6:
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
Proof step 11:
log.toSet ∩ as = ∅, adr ∈ as, adr ∈ log, ∀ adr. adr ∈ log → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr]) ⊦ # as = 0, as = ∅, adr ∈ fs \ as, adr ∈ fs

Rule argument

fma: adr ∈ fs

Additional information

Used formulas: adr ∈ fs