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Proof step 8 from proof new-write (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
new(ax0, fs[adr, nd]), new(ax0, fs), adr ∈ ax0, ∀ fs, adr, nd. new(ax0, fs) → (new(ax0, fs[adr, nd]) ↔ ¬ adr ∈ ax0) ⊦ adr0 = adr, adr0 ∈ fs

Proof step 8 from proof new-write (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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