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Proof step 137 from proof refine-readdir (previous step)

strings = strings0, err1 ≠ ESUCCESS, root.dir?, dom of < ino0, 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, ⌊err1⌋ ∨ err1 = ENOENT ∧ ¬ ispath(path, ROOT_INO, dirs, files) ∨ err1 = EACCESS ∧ path ≠ ε ∧ p' ⊑ parent(path) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings0, err0)⟩ ((psynced → asynced) ∧ strings = strings0 ∧ err1 = err0)

Heuristic weak unfold applied rule call right

And obtained the following new goals

Proof step 138:
fs = abs-files(files), ofh = abs-of(of), strings = strings0, strings1 = strings0, root.dir?, dom of < ino0, 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, ⌊err1⌋ ∨ err1 = ENOENT ∧ ¬ ispath(path, ROOT_INO, dirs, files) ∨ err1 = EACCESS ∧ path ≠ ε ∧ p' ⊑ parent(path) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ ⟨choose err with pre-readdir(path, err, user, root, fs, ofh) in err0 := err; if err0 = ESUCCESS then strings := dom root[path].entries else strings := ?⟩ ((psynced → asynced) ∧ strings1 = strings ∧ err1 = err0), err1 = ESUCCESS

Rule argument

pos: right 1

Additional information

Used simplifier rules: posix_readdir#(PATH, USER, ROOT, FS, OFH; NAMES, ERR) {choose E with pre-readdir(PATH, E, USER, ROOT, FS, OFH) in ERR := E; if ERR = ESUCCESS then NAMES := dom ROOT[PATH].entries else NAMES := ? };