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Proof step 38 from proof rem-preserves-monls (previous step)

mon(λ n. rem(⌜nnf to n⌝ , np)), mon<(⌜nnf⌝ ) ⊦ mon<(lim(λ n. rem(⌜nnf to n⌝ , np))), mon<(rem(⌜nnf to n⌝ , np))

User applied rule insert proof lemma

And obtained the following new goals

Proof step 39:
mon<(⌜nl⌝ ) ⊦ mon<(rem(⌜nl⌝ , np))

Rule argument

path: 1, 1, 1 subst: [nl, np] → [nnf to n, np]

Additional information

Used simplifier rules: monls-to: ⊦ mon<(⌜nnf⌝ ) → (¬ mon<(⌜nnf to n⌝ ) ↔ false);