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Proof step 4 from proof ls-ext (previous step)

∀ m. nx0 < m ↔ (∀ n. n ∈ nx0 → n < m) ⊦ m0 ' + nx0 < m ↔ (∀ n. n = m0 ∨ n ∈ nx0 → n < m)

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 5:
m0 ' + nx0 < m, ∀ m. nx0 < m ↔ (∀ n. n ∈ nx0 → n < m) ⊦ m0 ' + nx0 < m ↔ (∀ n. n = m0 ∨ n ∈ nx0 → n < m)
Proof step 10:
∀ m. nx0 < m ↔ (∀ n. n ∈ nx0 → n < m) ⊦ m0 ' + nx0 < m ↔ (∀ n. n = m0 ∨ n ∈ nx0 → n < m), m0 ' + nx0 < m

Rule argument

fma: m0 ' + nx0 < m

Additional information

Used formulas: m0 ' + nx0 < m