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Proof step 4 from proof ls-trans (previous step)

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

User applied rule structural induction

And closed the goal!

Rule argument

indvar: n∞

Additional information

Used simplifier rules: less-inf1: ⊦ ¬ ∞ < n∞;%less-fin: ⊦ ⌜m⌝ < ⌜n⌝ ↔ m < n;%natinf freely generated by ∞, ⌜ ⌝;;%ls-02: ⊦ m < n → ¬ n < m; from specification nat-basic1