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Proof step 2 from proof refine-mkdir (previous step)

err = err0, fs = abs-files(files), ofh = abs-of(of), 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)⟫ ⟨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)

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: vfs-asm name: inv-mkdir seq: of-cons(of, dirs, files), afs-cons(dirs, files) ⊦ ⟪vfs_mkdir#(p, md, user; err, dirs, files, asynced)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)) subst: [user, md, p, asynced, files, dirs, err, of] → [user, md, path, asynced, files, dirs, err, of] flags: <all paths>

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