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

n∞ < ⌜m⌝ ⊦ n∞ < ⌜m0⌝ , ⌜m0⌝ < ⌜m⌝

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
n∞ < ⌜m⌝ , m ≤ m0 ⊦ n∞ < ⌜m0⌝

Rule argument

Additional information

Used simplifier rules: less-fin: ⊦ ⌜m⌝ < ⌜n⌝ ↔ m < n;%lels: ⊦ ¬ m < n ↔ n ≤ m; from specification nat