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Proof step 14 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 ⊦ pre-rmdir(ε, EACCESS, user, root, abs-files(files), abs-of(of)) ∧ ⟨err0 := EACCESS; if err0 = ESUCCESS then root := root -- ε; psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ EACCESS = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
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 ⊦ ⟨err0 := EACCESS; if err0 = ESUCCESS then root := root -- ε; psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ EACCESS = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ pre-rmdir(p, EACCESS, user, root, fs, ofh) ↔ p = ε ∨ ¬ py(user, parent(p), root, fs); (s)