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Proof step 5 from proof of-cons-reduce (previous step)

of-cons(of0, dirs0, files0) ⊦ (∀ n. n ∈ of1 → of1[n].ino ∈ files1) ↔ (∀ n. (n ∈ of0 → of0[n].ino ∈ files0) → n ∈ of1 → of1[n].ino ∈ files1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information