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Proof step 148 from proof refine-rmdir (previous step)

root[q + str '] = dnode(md1, sdt), dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), dirs[entries[str]] = mkdir(# entries0, md0, # links(entries[str], dirs), m2, entries0), entries0 ≠ ∅, sdt ≠ ∅, 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, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), entries[str] ∈ dirs, ino1 ∈ dirs, str ∈ entries, psynced → asynced, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ∃ err. pre-rmdir(q + str ', err, user, root, abs-files(files), abs-of(of)) ∧ ⟨err0 := err; if err0 = ESUCCESS then root := root -- (q + str '); psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ ENOTEMPTY = err0)

User applied rule exists right

And obtained the following new goals

Proof step 149:
dirs[entries[str]] = mkdir(# entries0, md0, # links(entries[str], dirs), m2, entries0), dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), root[q + str '] = dnode(md1, sdt), 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, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), str ∈ entries, ino1 ∈ dirs, entries[str] ∈ dirs, psynced → asynced, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ pre-rmdir(q + str ', ENOTEMPTY, user, root, abs-files(files), abs-of(of)) ∧ ⟨err0 := ENOTEMPTY; if err0 = ESUCCESS then root := root -- (q + str '); psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ ENOTEMPTY = err0), entries0 = ∅, sdt = ∅

Rule argument

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

Additional information

Used terms: ENOTEMPTY