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Proof step 4 from proof refine-mkdir (previous step)

err = err0, fs = abs-files(files), md0 = md, of0 = of, ofh = abs-of(of), p0 = path, user0 = user, root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, fs, ofh), of-cons(of, dirs, files), psynced → asynced ⊦ [vfs_mkdir#(path, md, user; err, dirs, files, asynced)] ( of-cons(of0, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_mkdir#(path, md, user, fs, ofh; err0, root; psynced)⟩ ((ofh = abs-of(of) ∧ 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 5:
err = err0, fs = abs-files(files), 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 ⊦ [vfs_mkdir#(path, md, user; err, dirs, files, asynced)] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_mkdir#(path, md, user, fs, abs-of(of); err0, root; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err0))

Proof step 4 from proof refine-mkdir (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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