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

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)

User applied rule call right

And obtained the following new goals

Proof step 7:
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, ⌊err1⌋ ∨ err1 = ESUCCESS ⊦ ⟨fail_or_success#(; ; err); psynced := ?⟩ ((psynced → asynced0) ∧ err1 = err)

Rule argument

pos: right 1

Additional information

Used simplifier rules: posix_fsyncdir#(PATH, ISDATASYNC, USER; ; PSYNCED, ERR) {fail_or_success#(; ; ERR); PSYNCED := ?};