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Proof step 14 from proof orphans-del-file (previous step)

# links(ino, dirs) = 0, files[ino0] = mkfile(m, md0, m0, content0), files[ino] = mkfile(n, md, 0, content), dirs[ino0] = mkdir(m1, md1, m2, m3, entries), afs-cons(dirs, files), ino ∈ files, ino0 ∈ dirs → m2 = 0, ino0 ∈ files → m0 = 0, ino0 ∈ dirs ∨ ino0 ≠ ino ∧ ino0 ∈ files ⊦ ino0 = ROOT_INO, ino ∈ dirs, ino0 ≠ ino ∧ (ino0 ∈ dirs ∨ ino0 ∈ files)

User applied rule case distinction

And closed the goal!

Rule argument

pos: right 3

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