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Proof step 5 from proof refine-fsyncdir (previous step)

isdir0 ↔ isdir, dirs0 = dirs, files0 = files, fs = abs-files(files), of0 = of, ofh = abs-of(of), p0 = path, user0 = user, root.dir?, dom of < ino, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, fs, ofh), of-cons(of, dirs, files), psynced → asynced ⊦ ∀ asynced, err. ⌊err⌋ ∨ err = ESUCCESS → ⟨posix_fsyncdir#(path, isdir, user; ; psynced, err0)⟩ ((ofh = abs-of(of) ∧ fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced)) ∧ err = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
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, ⌊err⌋ ∨ err = ESUCCESS ⊦ ⟨posix_fsyncdir#(path, isdir, user; ; psynced, err0)⟩ ((psynced → asynced0) ∧ err = err0)

Proof step 5 from proof refine-fsyncdir (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information