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Proof step 4 from proof refine-sync (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 ⊦ ⟪afs_sync#(dirs, files; ; asynced, err)⟫ ⟨posix_sync#(; ; psynced, err0)⟩ ((psynced → asynced) ∧ err = err0)

User applied rule call right

And obtained the following new goals

Proof step 5:
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 ⊦ ⟪fail_or_success#(; ; err); asynced := err = ESUCCESS⟫ ⟨posix_sync#(; ; psynced, err0)⟩ ((psynced → asynced) ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: afs_sync#(DIRS, FILES; ; ASYNCED, ERR) {fail_or_success#(; ; ERR); ASYNCED := ERR = ESUCCESS};