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Proof step 632 from proof refine-link (previous step)

root[q].dir? ↔ ino1 ∈ dirs, path' ≠ ε, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), ⌊err1⌋ , psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ ∃ err. pre-link(q + str ', path', err, user, root, abs-files(files), abs-of(of)) ∧ ⟨err0 := err; if err0 = ESUCCESS then let fid = root[q + str '].fid in root[path'] := fnode(fid); psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0)

Heuristic use patterns applied rule exists right

And obtained the following new goals

Proof step 633:
root[q].dir? ↔ ino1 ∈ dirs, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), ⌊err1⌋ , psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ pre-link(q + str ', path', err1, user, root, abs-files(files), abs-of(of)) ∧ ⟨err0 := err1; if err0 = ESUCCESS then let fid = root[q + str '].fid in root[path'] := fnode(fid); psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0), path' = ε

Rule argument

pos: right 1 terms: err1 abort: T discard: T computed: F

Additional information

Used terms: err1