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Proof step 1 from proof of-cons-file (conclusion)

⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) → ino ∈ files

System applied rule normalize

And obtained the following new goals

Proof step 2:
of[fd] = mkfile(ino, mode, n), of-cons(of, dirs, files), fd ∈ of ⊦ ino ∈ files

Rule argument

Additional information