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Proof step 23 from proof refine-create (previous step)

err = err0, ino = ROOT_INO, path0 ≠ ε, root.dir?, dom of < ino0, 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_walk#(parent(path0), user, dirs, files, asynced; ino, err); dent := negdentry(path0.last); if err = ESUCCESS then vfs_may_create#(ino, dent, user, dirs, files, asynced; inode, err); if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); fs := abs-files(files); if err = ESUCCESS then afs_create#(md; inode, c_inode, dent, err, dirs, files; asynced)] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_create#(path0, md, user, abs-of(of); err0, root, fs; psynced)⟩ (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: walk-prepost-parent seq: ino = ROOT_INO, afs-cons(dirs, files), p ≠ ε ⊦ ⟪vfs_walk#(parent(p), user, dirs, files, asynced; ino, err)⟫ ∃ q, str. p = q + str ∧ ( ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(q, ROOT_INO, ino, dirs, files) ∧ px-parent(user, q, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(q, ROOT_INO, dirs, files) ∨ err = EACCESS ∧ (∃ p'. p' ⊑ q ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files))) subst: [asynced, files, dirs, user, p, err, ino] → [asynced, files, dirs, user, path0, err, ino] flags: <all paths>

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