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

err = err0, fs = abs-files(files), 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_truncate#(path, n, user; err, dirs, files, asynced)] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_truncate#(path, n, user, root, abs-of(of); err0, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err0))

User applied rule call right

And obtained the following new goals

Proof step 7:
err = err0, fs = abs-files(files), 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, mode = MODE_W, pageno = 0, buf-opt = none, inode = ?, isdir0 = ? in {vfs_walk#(path, user, dirs, files, asynced; ino, err); if err = ESUCCESS then let isdir = false in vfs_may_open#(ino, isdir, mode, user, dirs, files, asynced; inode, err); if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then pageno := inode.size / VFS_PAGE_SIZE; if err = ESUCCESS then afs_truncate#(n, pageno; buf-opt, inode, isdir0, err, dirs, files, asynced)}] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_truncate#(path, n, user, root, abs-of(of); err0, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err0))

Rule argument

pos: right 1

Additional information

Used simplifier rules: vfs_truncate#(PATH, N, USER; ERR, DIRS, FILES, ASYNCED) {let INO = ROOT_INO, MODE = MODE_W, PAGENO = 0, PBUF-OPT = none, INODE = ?, MODIFIED = ? in {vfs_walk#(PATH, USER, DIRS, FILES, ASYNCED; INO, ERR); if ERR = ESUCCESS then let ISDIR = false in vfs_may_open# (INO, ISDIR, MODE, USER, DIRS, FILES, ASYNCED; INODE, ERR); if ERR = ESUCCESS then afs_check_commit#(DIRS, FILES; ERR; ASYNCED); if ERR = ESUCCESS then PAGENO := INODE.size / VFS_PAGE_SIZE; if ERR = ESUCCESS then afs_truncate# (N, PAGENO ; PBUF-OPT, INODE, MODIFIED, ERR, DIRS, FILES, ASYNCED)} };