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Proof step 19 from proof nextli-lemma (previous step)

lfgen(0)(0) = [], lfgen(n1)(0) = [], n1 ≤ n0, ∀ n. lfgen(n)(0) = [] ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextli(lfgen(n)(m))), ∀ m. m < n1 → lfgen(n1)(m + 1) = nextli(lfgen(n1)(m)) ⊦ lfgen(n1)(0) = lfgen(n0)(0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
lfgen(n1)(0) = [], lfgen(0)(0) = [], n1 ≤ n0, ∀ m. m < n1 → lfgen(n1)(m + 1) = nextli(lfgen(n1)(m)), ∀ n. lfgen(n)(0) = [] ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextli(lfgen(n)(m))) ⊦ [] = lfgen(n0)(0)

Proof step 19 from proof nextli-lemma (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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