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Proof step 46 from proof refine-mkdir (previous step)

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), ROOT_INO ∈ dirs, ino1 ∈ files, ¬ root[q].dir?, ¬ ino1 ∈ dirs, psynced → asynced ⊦ ⟨posix_mkdir#(q + str ', md, user, abs-files(files), abs-of(of); err0, root; psynced)⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ ENOTDIR = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 47:
fs = abs-files(files), ofh = abs-of(of), path = q + str ', 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), ino1 ∈ files, ROOT_INO ∈ dirs, psynced → asynced ⊦ ⟨choose err with pre-mkdir(path, md, err, user, root, fs, ofh) in err0 := err; if err0 = ESUCCESS then root[path] := dnode(md, ∅); psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ ENOTDIR = err0), root[q].dir?, ino1 ∈ dirs

Rule argument

pos: right 1

Additional information

Used simplifier rules: posix_mkdir#(PATH, MD, USER, FS, OFH; ERR, ROOT; PSYNCED) {choose E with pre-mkdir(PATH, MD, E, USER, ROOT, FS, OFH) in ERR := E; if ERR = ESUCCESS then ROOT[PATH] := dnode(MD, ∅); PSYNCED := ? };