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Proof step 22 from proof refine-fsync (previous step)

root[path].dir? ↔ ino1 ∈ dirs, err = ESUCCESS, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced ⊦ [afs_iget#(ino1, dirs, files, asynced; inode, err); if err = ESUCCESS then if inode.directory then err := (inode.directory ⊃ EISDIR;ENOTDIR) else if ¬ pr(user, inode.meta) then err := EACCESS; err1 := err; if err1 = ESUCCESS then afs_fsync#(inode, isdir0, dirs, files; ; asynced, err1); if err1 = ESUCCESS then afs_sync#(dirs, files; ; asynced, err1)] ⟨posix_fsync#(path, isdir0, user, root, abs-files(files), abs-of(of); ; psynced, err0)⟩ ((psynced → asynced) ∧ err1 = err0)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 23:
root[path].dir? ↔ ino1 ∈ dirs, err = ESUCCESS, ino = ino1, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced ⊦ [if pre-iget(ino, dirs, files) then {{inode := getinode(ino, dirs, files); err := ESUCCESS} or fail#(; ; err)} else abort; if err = ESUCCESS then if inode.directory then err := (inode.directory ⊃ EISDIR;ENOTDIR) else if ¬ pr(user, inode.meta) then err := EACCESS; err1 := err; if err1 = ESUCCESS then afs_fsync#(inode, isdir0, dirs, files; ; asynced, err1); if err1 = ESUCCESS then afs_sync#(dirs, files; ; asynced, err1)] ⟨posix_fsync#(path, isdir0, user, root, abs-files(files), abs-of(of); ; psynced, err0)⟩ ((psynced → asynced) ∧ err1 = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_iget#(INO, DIRS, FILES, ASYNCED; INODE, ERR) {if pre-iget(INO, DIRS, FILES) then { {INODE := getinode(INO, DIRS, FILES); ERR := ESUCCESS} or fail#(; ; ERR)} else abort };