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Proof step 7 from proof new-write (previous step)

new(ax0, fs), ∀ fs, adr, nd. new(ax0, fs) → (new(ax0, fs[adr, nd]) ↔ ¬ adr ∈ ax0) ⊦ new(ax0, fs[adr, nd]) ↔ ¬ adr ∈ ax0, adr0 = adr, adr0 ∈ fs

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 8:
new(ax0, fs), new(ax0, fs[adr, nd]), ∀ fs, adr, nd. new(ax0, fs) → (new(ax0, fs[adr, nd]) ↔ ¬ adr ∈ ax0) ⊦ new(ax0, fs[adr, nd]) ↔ ¬ adr ∈ ax0, adr0 = adr, adr0 ∈ fs
Proof step 10:
new(ax0, fs), ∀ fs, adr, nd. new(ax0, fs) → (new(ax0, fs[adr, nd]) ↔ ¬ adr ∈ ax0) ⊦ new(ax0, fs[adr, nd]) ↔ ¬ adr ∈ ax0, adr0 = adr, new(ax0, fs[adr, nd]), adr0 ∈ fs

Rule argument

fma: new(ax0, fs[adr, nd])

Additional information

Used formulas: new(ax0, fs[adr, nd])