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Proof step 489 from proof refine-link (previous step)

root[q0].dir? ↔ ino2 ∈ dirs, dirs[ino1] = mkdir(# entries0, md0, # links(ino1, dirs), m2, entries0), files[entries0[str]] = mkfile(m, md, # links(entries0[str], dirs), content), root[q].dir?, 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), ispath(q0, ROOT_INO, ino2, dirs, files), of-cons(of, dirs, files), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), px-parent(user, q0, ROOT_INO, dirs, files), str ∈ entries0, ino1 ∈ dirs, entries0[str] ∈ files, ⌊err1⌋ , ¬ root[q + str '].dir?, ¬ entries0[str] ∈ dirs, psynced → asynced, ino2 ∈ dirs ∨ ino2 ∈ files, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ∃ err. pre-link(q + str ', q0 + str0 ', err, user, root, abs-files(files), abs-of(of)) ∧ ⟨err0 := err; if err0 = ESUCCESS then let fid = root[q + str '].fid in root[q0 + str0 '] := 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 490:
root[q0].dir? ↔ ino2 ∈ dirs, files[entries0[str]] = mkfile(m, md, # links(entries0[str], dirs), content), dirs[ino1] = mkdir(# entries0, md0, # links(ino1, dirs), m2, entries0), root.dir?, root[q].dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q0, ROOT_INO, ino2, dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px(user, md0), px-parent(user, q0, ROOT_INO, dirs, files), px-parent(user, q, ROOT_INO, dirs, files), entries0[str] ∈ files, ino1 ∈ dirs, str ∈ entries0, ⌊err1⌋ , psynced → asynced, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, ino2 ∈ dirs ∨ ino2 ∈ files ⊦ pre-link(q + str ', q0 + str0 ', err1, user, root, abs-files(files), abs-of(of)) ∧ ⟨err0 := err1; if err0 = ESUCCESS then let fid = root[q + str '].fid in root[q0 + str0 '] := fnode(fid); psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0), root[q + str '].dir?, entries0[str] ∈ dirs

Rule argument

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

Additional information

Used terms: err1