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Proof step 1 from proof toinf-to-leq (conclusion)

¬ # σ < n∞ ⊦ ¬ n∞ < ⌜m⌝ → (σ to∞ n∞) to m = σ to m

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ (σ to∞ n∞) to m = σ to m, n∞ < ⌜m⌝ , # σ < n∞, # σ < ⌜m⌝

Rule argument

Additional information

Used simplifier rules: lele-trans: ⊦ ¬ n∞1 < n∞ ∧ ¬ n∞2 < n∞1 → ¬ n∞2 < n∞; (forward) from specification nat-inf