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Proof step 33 from proof nextnli-lemma (previous step)

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

User applied rule structural induction

And obtained the following new goals

Proof step 34:
⊦ ∃ lf. lf(0) = x ∧ (∀ m. m < 0 → lf(m + 1) = nextnli(lf(m), m))
Proof step 36:
∀ x, nextnli. ∃ lf. lf(0) = x ∧ (∀ m. m < n0 → lf(m + 1) = nextnli(lf(m), m)) ⊦ ∃ lf. lf(0) = x ∧ (∀ m. m < n0 +1 → lf(m + 1) = nextnli(lf(m), m))

Rule argument

indvar: n

Additional information

Used simplifier rules: nat freely generated by 0, +1;;