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Proof step 3 from proof lele-refl (previous step)

⊦ ⌜m⌝ = n∞1, ⌜m⌝ < n∞1, n∞1 < ⌜m⌝

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ ⌜m⌝ = n∞1, n∞1 < ⌜m⌝ , ⌜m⌝ < n∞1

Rule argument

Additional information

Used simplifier rules: lele-trans: ⊦ ¬ n∞1 < n∞ ∧ ¬ n∞2 < n∞1 → ¬ n∞2 < n∞;%less-fin: ⊦ ⌜m⌝ < ⌜n⌝ ↔ m < n;%ler: ⊦ m ≤ m; from specification nat%lels: ⊦ ¬ m < n ↔ n ≤ m; from specification nat