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Proof step 17 from proof nextnli-lemma (previous step)

0 ≤ n1, n1 ≤ n0, 0 ≤ n0, ∀ n. lfgen(n)(0) = x ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextnli(lfgen(n)(m), m)) ⊦ lfgen(n1)(0) = lfgen(n0)(0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
n1 ≤ n0, ∀ n. lfgen(n)(0) = x ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextnli(lfgen(n)(m), m)) ⊦ lfgen(n1)(0) = lfgen(n0)(0)

Rule argument

Additional information

Used simplifier rules: lez: ⊦ 0 ≤ m; from specification nat