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Proof step 3 from proof refine-open (previous step)

err = err0, fd = ino0, 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_open#(path, mode, user, dirs, files, asynced; fd, err, of, ino)⟫ ⟨posix_open#(path, mode, user, root, abs-files(files); ino0, err0, ofh)⟩ (ofh = abs-of(of) ∧ (psynced → asynced) ∧ fd = ino0 ∧ err = err0)

User applied rule insert program lemma

And obtained the following new goals

Rule argument

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

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