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Proof step 2 from proof lele-refl (previous step)

⊦ n∞ = n∞1, n∞ < n∞1, n∞1 < n∞

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 3:
⊦ ⌜m⌝ = n∞1, ⌜m⌝ < n∞1, n∞1 < ⌜m⌝

Rule argument

term: n∞

Additional information

Used simplifier rules: less-inf1: ⊦ ¬ ∞ < n∞;%inf-less: ⊦ n∞ < ∞ ↔ n∞ ≠ ∞;%natinf freely generated by ∞, ⌜ ⌝;;