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Proof step 3 from proof ls-trans (previous step)

n∞1 < n∞2, n∞ < n∞1, n∞2 < n∞1, n∞1 < n∞ ⊦ n∞ < n∞2

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 4:
⌜m⌝ < n∞, n∞2 < ⌜m⌝ , n∞ < ⌜m⌝ , ⌜m⌝ < n∞2 ⊦ n∞ < n∞2

Rule argument

term: n∞1

Additional information

Used simplifier rules: gen: ⊦ ;%less-inf1: ⊦ ¬ ∞ < n∞;