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Proof step 6 from proof refine-readdir (previous step)

err = err0, strings = strings0, 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_readdir#(path, user, dirs, files, asynced; strings, err)] ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings0, err0)⟩ ((psynced → asynced) ∧ strings = strings0 ∧ err = err0)

User applied rule call right

And obtained the following new goals

Proof step 7:
err = err0, strings = strings0, 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 ⊦ [let ino = ROOT_INO, isdir = true, mode = MODE_R in {vfs_walk#(path, user, dirs, files, asynced; ino, err); if err = ESUCCESS then choose inode with true in {vfs_may_open#(ino, isdir, mode, user, dirs, files, asynced; inode, err); if err = ESUCCESS then afs_readdir#(inode, dirs, files, asynced; strings, err)}}] ⟨posix_readdir#(path, user, root, abs-files(files), abs-of(of); strings0, err0)⟩ ((psynced → asynced) ∧ strings = strings0 ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: vfs_readdir#(PATH, USER, DIRS, FILES, ASYNCED; NAMES, ERR) {let INO = ROOT_INO, ISDIR = true, MODE = MODE_R in {vfs_walk#(PATH, USER, DIRS, FILES, ASYNCED; INO, ERR); if ERR = ESUCCESS then choose INODE with true in {vfs_may_open# (INO, ISDIR, MODE, USER, DIRS, FILES, ASYNCED ; INODE, ERR); if ERR = ESUCCESS then afs_readdir# (INODE, DIRS, FILES, ASYNCED; NAMES, ERR)}} };