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Proof step 33 from proof ri-closed-gc-one (previous step)

key0 ∈ ri, key ∈ ri, key0 ∈ ri → ri[key0] ∈ fs ∧ node-closed(fs[ri[key0]], ri, fs, ro), ∀ key. key ∈ ri → ri[key] ∈ fs ∧ key-cons(key, fs[ri[key]]) ⊦ ri[key0] = adr, key0 = key, adr ∈ fs, ri[key0] ∈ fs ∧ node-closed(fs[ri[key0]], ri[key, adr], fs[adr, fs[ri[key]]], ro)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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