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Proof step 8 from proof refine-rmdir (previous step)

err = err0, fs = abs-files(files), 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 ⊦ [err := EACCESS] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_rmdir#(path, user, fs, abs-of(of); err0, root; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
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 ⊦ [err := EACCESS] ⟨posix_rmdir#(ε, user, abs-files(files), abs-of(of); err0, root; psynced)⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err0)

Proof step 8 from proof refine-rmdir (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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