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Proof step 1 from proof prime-add-fin (conclusion)

n∞ ≠ ∞ ⊦ (⌜m⌝ + n∞).n = m + n∞.n

User applied rule structural induction

And obtained the following new goals

Proof step 2:
⌜m0⌝ ≠ ∞ ⊦ (⌜m⌝ + ⌜m0⌝ ).n = m + ⌜m0⌝ .n

Rule argument

indvar: n∞

Additional information

Used simplifier rules: natinf freely generated by ∞, ⌜ ⌝;;