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

n∞ < ⌜m⌝ , ⌜m⌝ < n∞2, n∞2 < ⌜m⌝ , ⌜m⌝ < n∞ ⊦ n∞ < n∞2

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

Used simplifier rules: lsle-trans: ⊦ n∞ < n∞1 ∧ ¬ n∞2 < n∞1 → n∞ < n∞2;%lels-trans: ⊦ ¬ n∞1 < n∞ ∧ n∞1 < n∞2 → n∞ < n∞2;