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Proof step 1 from proof nextli-lemma (conclusion)

⊦ ∃ lf. lf(0) = [] ∧ (∀ n. lf(n + 1) = nextli(lf(n)))

User applied rule cut formula

And obtained the following new goals

Proof step 2:
∀ n. ∃ lf. lf(0) = [] ∧ (∀ m. m < n → lf(m + 1) = nextli(lf(m))) ⊦ ∃ lf. lf(0) = [] ∧ (∀ n. lf(n + 1) = nextli(lf(n)))
Proof step 30:
⊦ ∀ n. ∃ lf. lf(0) = [] ∧ (∀ m. m < n → lf(m + 1) = nextli(lf(m))), ∃ lf. lf(0) = [] ∧ (∀ n. lf(n + 1) = nextli(lf(n)))

Rule argument

fma: ∀ n. ∃ lf. lf(0) = [] ∧ (∀ m. m < n → lf(m + 1) = nextli(lf(m)))

Additional information

Used formulas: ∀ n. ∃ lf. lf(0) = [] ∧ (∀ m. m < n → lf(m + 1) = nextli(lf(m)))