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Proof step 44 from proof nextli-lemma (previous step)

lf(0) = [], ∀ m. m < n0 → lf(m + 1) = nextli(lf(m)) ⊦ lf(m + 1) = nextli((m = n0 + 1 ⊃ nextli(lf(n0));lf(m))), m = n0, n0 < m

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 45:
lf(0) = [], m < n0, ∀ m. m < n0 → lf(m + 1) = nextli(lf(m)) ⊦ lf(m + 1) = nextli((m = n0 + 1 ⊃ nextli(lf(n0));lf(m))), m = n0

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≠ n → (m < n ↔ ¬ n < m); (ss)