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Proof step 3 from proof refine-close (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, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ ⟪vfs_close#(fd, user, asynced; err, of, dirs, files)⟫ ⟨posix_close#(fd, user, root; err0, fs, ofh)⟩ (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-close seq: of-cons(of, dirs, files), dom of < ino, afs-cons(dirs, files) ⊦ ⟪vfs_close#(fd, user, asynced; err, of, dirs, files)⟫ ( of-cons(of, dirs, files) ∧ dom of < ino ∧ afs-cons(dirs, files)) subst: [asynced, user, fd, files, dirs, of, err, ino] → [asynced, user, fd, files, dirs, of, err, ino] flags: <all paths>

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