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Proof step 1 from proof less-less-leftsucc (conclusion)

⊦ n∞ < n∞0 → (n∞ + ⌜1⌝ < n∞0 ↔ ¬(n∞ + ⌜1⌝ = n∞0 ∧ n∞ ≠ ∞))

System applied rule normalize

And obtained the following new goals

Proof step 2:
n∞ < n∞0 ⊦ n∞ + ⌜1⌝ < n∞0 ↔ ¬(n∞ + ⌜1⌝ = n∞0 ∧ n∞ ≠ ∞)

Rule argument

Additional information