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Proof step 28 from proof inv-put-inode (previous step)

# links(m0, dirs) = 0, of[n] = mkfile(m0, mode, m1), files[m0] = mkfile(m, md, 0, content), afs-cons(dirs, files -- m0), afs-cons(dirs, files), of-cons(of, dirs, files), m0 ∈ files, n ∈ of ⊦ m0 = ROOT_INO, is-open(m0, of)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 29:
⊦ is-open(ino, of) ↔ (∃ n. n ∈ of ∧ of[n].ino = ino)
Proof step 30:
# links(m0, dirs) = 0, files[m0] = mkfile(m, md, 0, content), of[n] = mkfile(m0, mode, m1), afs-cons(dirs, files), afs-cons(dirs, files -- m0), of-cons(of, dirs, files), n ∈ of, m0 ∈ files ⊦ m0 = ROOT_INO, ∃ n. n ∈ of ∧ of[n].ino = m0

Rule argument

spec: vfs-base name: is-open seq: ⊦ is-open(ino, of) ↔ (∃ n. n ∈ of ∧ of[n].ino = ino) subst: [of, ino] → [of, m0] flags: <all paths>

Additional information

Used terms: of, m0