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Proof step 1 from proof add-ls-cancel-01 (conclusion)

⊦ ⌜n⌝ + n∞1 < ⌜n⌝ + n∞2 ↔ n∞1 < n∞2

Heuristic structural induction applied rule structural induction

And obtained the following new goals

Proof step 2:
⊦ ⌜n⌝ + n∞1 < ⌜n⌝ + ∞ ↔ n∞1 < ∞
Proof step 9:
⊦ ⌜n⌝ + n∞1 < ⌜n⌝ + ⌜m⌝ ↔ n∞1 < ⌜m⌝

Rule argument

term: n∞2

Additional information

Used simplifier rules: gen: ⊦ ;