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Proof step 25 from proof nextnli-lemma (previous step)

lfgen(n1)(m0) = lfgen(n0)(m0), lfgen(n1)(0) = x, m0 < n0, m0 < n1, n1 ≤ n0, ∀ n. lfgen(n)(0) = x ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextnli(lfgen(n)(m), m)), ∀ m. m < n1 → lfgen(n1)(m + 1) = nextnli(lfgen(n1)(m), m) ⊦ lfgen(n1)(m0 + 1) = lfgen(n0)(m0 + 1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 26:
lfgen(n1)(m0) = lfgen(n0)(m0), m0 < n1, m0 < n0, n1 ≤ n0, ∀ m. m < n1 → lfgen(n1)(m + 1) = nextnli(lfgen(n1)(m), m), ∀ n. lfgen(n)(0) = lfgen(n1)(0) ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextnli(lfgen(n)(m), m)) ⊦ lfgen(n1)(m0 + 1) = lfgen(n0)(m0 + 1)

Proof step 25 from proof nextnli-lemma (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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