| (∀ n. mon<(rem(⌜nnf to n⌝ , np))) ∧ mon(λ n. rem(⌜nnf to n⌝ , np)) → (¬ mon<(lim(λ n. rem(⌜nnf to n⌝ , np))) ↔ false), mon<(⌜nnf⌝ ) ⊦ mon<(lim(λ n. rem(⌜nnf to n⌝ , np))) |
mon<(⌜nnf⌝ ) ⊦ mon<(lim(λ n. rem(⌜nnf to n⌝ , np))), mon<(rem(⌜nnf to n⌝ , np)) ∧ mon(λ n. rem(⌜nnf to n⌝ , np))