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Proof step 1 from proof abs-acyclic (conclusion)

⊦ abs(tree, ROOT_INO)(dirs) ∧ fids-cons(tree, abs-files(files), ofh) ∧ afs-cons(dirs, files) ∧ ino ∈ dirs ∧ dirs[ino] = mkdir(n, md, m, m0, entries) ∧ str ∈ entries ∧ ispath(p, ROOT_INO, ino, dirs, files) → entries[str] ≠ ROOT_INO

System applied rule normalize

And obtained the following new goals

Proof step 2:
entries[str] = ROOT_INO, dirs[ino] = mkdir(n, md, m, m0, entries), abs(tree, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(tree, abs-files(files), ofh), ispath(p, ROOT_INO, ino, dirs, files), ino ∈ dirs, str ∈ entries ⊦

Proof step 1 from proof abs-acyclic (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information