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Proof step 1 from proof orphans-cons-gc-one (conclusion)

⊦ key ∈ ri ∧ ¬ adr ∈ fs ∧ orphans-cons(fs, ri, ro) ∧ ri-cons(ri, fs) → orphans-cons(fs[adr, fs[ri[key]]], ri[key, adr], ro)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information