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Proof step 13 from proof del-merge-dels (previous step)

key0 ∈ ri, key ∈ ks, key0.data? → inodekey(key0.ino) ≠ key, key0.data? → ¬ inodekey(key0.ino) ∈ ks ⊦ # ks = 0, ((ri ⊖ key) ⊖ ks)[key0] = (ri ⊖ ks)[key0], ks = ∅, key0 ∈ ks, (key0 ∈ ri ∧ key0 ≠ key ∧ (key0.data? → inodekey(key0.ino) ≠ key)) ∧ ¬ key0.data?

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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