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Proof step 199 from proof refine-writemeta (previous step)

root[path].dir? ↔ ino1 ∈ dirs, fs = abs-files(files), 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_writemeta#(path, md, user, abs-of(of); err2, root, fs; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err0 = err2)

Heuristic weak unfold applied rule call right

And obtained the following new goals

Proof step 200:
root[path].dir? ↔ ino1 ∈ dirs, err0 = err2, 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), ⌊err⌋ , psynced → asynced, ino1 ∈ dirs ∨ ino1 ∈ files ⊦ ⟨choose err with pre-writemeta(path, md, err, user, root, fs, ofh) in err0 := err; if err0 = ESUCCESS then if root[path].dir? then root[path].meta := md else let fid = root[path].fid in fs[fid].meta := md; psynced := ?⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: posix_writemeta#(PATH, MD, USER, OFH; ERR, ROOT, FS; PSYNCED) {choose E with pre-writemeta(PATH, MD, E, USER, ROOT, FS, OFH) in ERR := E; if ERR = ESUCCESS then if ROOT[PATH].dir? then ROOT[PATH].meta := MD else let FID = ROOT[PATH].fid in FS[FID].meta := MD; PSYNCED := ? };