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Proof step 3 from proof nextnli-lemma (previous step)

∀ n. lfgen(n)(0) = x ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextnli(lfgen(n)(m), m)) ⊦ ∃ lf. lf(0) = x ∧ (∀ n. lf(n + 1) = nextnli(lf(n), n))

User applied rule exists right

And obtained the following new goals

Proof step 4:
∀ n. lfgen(n)(0) = x ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextnli(lfgen(n)(m), m)) ⊦ lfgen(0)(0) = x ∧ (∀ n. lfgen(n + 1)(n + 1) = nextnli(lfgen(n)(n), n))

Rule argument

pos: right 1 terms: λ n. lfgen(n)(n) abort: F discard: T computed: F

Additional information

Used terms: λ n. lfgen(n)(n)