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Proof step 1 from proof add-inf-02 (conclusion)

⊦ ⌜n⌝ + n∞1 = ∞ ↔ n∞1 = ∞

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⌜n⌝ + n∞1 = ∞ ⊦ n∞1 = ∞

Rule argument

Additional information

Used simplifier rules: add-inf2: ⊦ ⌜m⌝ + ∞ = ∞;%add-assoc: ⊦ (n∞ + n∞1) + n∞2 = n∞ + n∞1 + n∞2;%add-comm: ⊦ n∞1 + n∞2 = n∞2 + n∞1;