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Proof step 3 from proof l (previous step)

∀ m, n. m + n < m + n1 ↔ n < n1 ⊦ m + n < m + n1 + 1 ↔ n < n1 + 1

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 4:
m + n < n1 + m, ∀ m, n. m + n < m + n1 ↔ n < n1 ⊦ m + n < m + n1 + 1 ↔ n < n1 + 1
Proof step 6:
∀ m, n. m + n < m + n1 ↔ n < n1 ⊦ m + n < m + n1 + 1 ↔ n < n1 + 1, m + n < n1 + m

Rule argument

fma: m + n < n1 + m

Additional information

Used formulas: m + n < n1 + m