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Proof step 2 from proof add-ls-cancel-01 (previous step)

⊦ ⌜n⌝ + n∞1 < ⌜n⌝ + ⌜m⌝ ↔ n∞1 < ⌜m⌝

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 3:
n∞1 < ⌜m⌝ ⊦ ⌜n⌝ + n∞1 < ⌜n⌝ + ⌜m⌝ ↔ n∞1 < ⌜m⌝
Proof step 5:
⊦ n∞1 < ⌜m⌝ , ⌜n⌝ + n∞1 < ⌜n⌝ + ⌜m⌝ ↔ n∞1 < ⌜m⌝

Rule argument

fma: n∞1 < ⌜m⌝

Additional information

Used formulas: n∞1 < ⌜m⌝