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Proof step 9 from proof refine-writemeta (previous step)

err = err0, ino = ROOT_INO, 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#(path, user, dirs, files, asynced; ino, err)] ( ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(path, ROOT_INO, ino, dirs, files) ∧ px-parent(user, path, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(path, ROOT_INO, dirs, files) ∨ err = EACCESS ∧ path ≠ ε ∧ (∃ p'. p' ⊑ parent(path) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files)) → ⟪fs := abs-files(files); if err = ESUCCESS then choose inode with true in {afs_iget#(ino, dirs, files, asynced; inode, err); if err = ESUCCESS then if pw(user, inode.meta) then {inode.meta := md; afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_write_inode#(inode; err, dirs, files; asynced)} else err := EACCESS}⟫ ⟨posix_writemeta#(path, 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 skip call

And obtained the following new goals

Rule argument

pos: right 1

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