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Proof step 140 from proof refine-readdir (previous step)

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) ⊦ ∃ err. pre-readdir(path, err, user, root, abs-files(files), abs-of(of)) ∧ ⟨err0 := err; if err0 = ESUCCESS then strings := dom root[path].entries else strings := ?⟩ ((psynced → asynced) ∧ strings0 = strings ∧ err1 = err0)

Heuristic use patterns applied rule exists right

And obtained the following new goals

Proof step 141:
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) ⊦ pre-readdir(path, err1, user, root, abs-files(files), abs-of(of)) ∧ ⟨err0 := err1; if err0 = ESUCCESS then strings := dom root[path].entries else strings := ?⟩ ((psynced → asynced) ∧ strings0 = strings ∧ err1 = err0), err1 = ESUCCESS

Rule argument

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

Additional information

Used terms: err1