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Proof step 232 from proof refine-mkdir (previous step)

dirs[ino1] = mkdir(# entries, md0, # links(ino1, dirs), m1, entries), 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), of-cons(of, dirs, files), pw(user, md0), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, ⌊err0⌋ , ¬ str ∈ entries, psynced → asynced0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟨posix_mkdir#(q + str ', md, user, abs-files(files), abs-of(of); err2, root; psynced)⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err0 = err2)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 233:
dirs[ino1] = mkdir(# entries, md0, # links(ino1, dirs), m1, entries), err0 = err2, fs = abs-files(files), ofh = abs-of(of), path = q + str ', 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(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), pw(user, md0), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, ⌊err⌋ , psynced → asynced0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟨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) ∧ err = err0), str ∈ entries

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 := ? };