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

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

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

Rule argument

Additional information

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