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Proof step 10 from proof refine-rmdir (previous step)

root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ ⟨posix_rmdir#(ε, user, abs-files(files), abs-of(of); err0, root; psynced)⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ EACCESS = err0)

Heuristic weak unfold applied rule call right

And obtained the following new goals

Proof step 11:
fs = abs-files(files), ofh = abs-of(of), path = ε, root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ ⟨choose err with pre-rmdir(path, err, user, root, fs, ofh) in err0 := err; if err0 = ESUCCESS then root := root -- path; psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ EACCESS = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: posix_rmdir#(PATH, USER, FS, OFH; ERR, ROOT; PSYNCED) {choose E with pre-rmdir(PATH, E, USER, ROOT, FS, OFH) in ERR := E; if ERR = ESUCCESS then ROOT := ROOT -- PATH; PSYNCED := ? };