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

dups(log0 + ax), new(ax, fs), node-cons(fs[adr].key, fs[adr]), adr ∈ fs, dups(log0 + ax) ∧ new(ax, fs) ∧ (∀ adr. adr ∈ log0 → adr ∈ fs ∧ node-cons(fs[adr].key, fs[adr])) → dups(ax), ∀ adr0. adr0 ∈ log0 → adr0 ∈ fs ∧ node-cons(fs[adr0].key, fs[adr0]) ⊦ dups(log0), dups(ax), adr ∈ log0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
dups(log0 + ax), new(ax, fs), node-cons(fs[adr].key, fs[adr]), adr ∈ fs, adr0 ∈ log0, ∀ adr0. adr0 ∈ log0 → adr0 ∈ fs ∧ node-cons(fs[adr0].key, fs[adr0]) ⊦ dups(ax), dups(log0), adr ∈ log0, adr0 ∈ fs ∧ node-cons(fs[adr0].key, fs[adr0])

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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