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Proof step 1 from proof new-ext (conclusion)

⊦ new(log, fs) ↔ (∀ adr. adr ∈ log → ¬ adr ∈ fs)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
∀ adr. adr ∈ log → ¬ adr ∈ fs ⊦ new(log, fs)

Rule argument

Additional information

Used simplifier rules: new-in-fs: ⊦ new(log, fs) ∧ adr ∈ fs → ¬ adr ∈ log;