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Proof step 7 from proof nextli-lemma (previous step)

∀ m, n1, n2. m ≤ n1 ∧ n1 ≤ n2 → lfgen(n1)(m) = lfgen(n2)(m), lfgen(0)(0) = [], ∀ n. lfgen(n)(0) = [] ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextli(lfgen(n)(m))) ⊦ lfgen(n + 1)(n + 1) = nextli(lfgen(n)(n))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
lfgen(0)(0) = [], ∀ m, n1, n2. m ≤ n1 ∧ n1 ≤ n2 → lfgen(n1)(m) = lfgen(n2)(m), ∀ n. lfgen(n)(0) = [] ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextli(lfgen(n)(m))) ⊦ lfgen(n + 1)(n + 1) = nextli(lfgen(n)(n))

Proof step 7 from proof nextli-lemma (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information