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Proof step 128 from proof refine-fsync (previous step)

root[path].dir? ↔ ino1 ∈ dirs, 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), ⌊err0⌋ , psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ ⟨posix_fsync#(path, isdir0, user, root, abs-files(files), abs-of(of); ; psynced, err2)⟩ ((psynced → asynced) ∧ err0 = err2)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 129:
isdir ↔ isdir0, root[path].dir? ↔ ino1 ∈ dirs, fs = abs-files(files), ofh = abs-of(of), 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), ⌊err0⌋ , psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ ⟨choose err0 with pre-fsync(path, isdir, err0, user, root, fs, ofh) in err := err0; psynced := ?⟩ ((psynced → asynced) ∧ err0 = err)

Rule argument

pos: right 1

Additional information

Used simplifier rules: posix_fsync#(PATH, ISDATASYNC, USER, ROOT, FS, OFH; ; PSYNCED, ERR) {choose E with pre-fsync(PATH, ISDATASYNC, E, USER, ROOT, FS, OFH) in ERR := E; PSYNCED := ? };