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Proof step 35 from proof nextl-lemma-butlast-nonempty (previous step)

∀ n, a. nextl(n, a) ≠ [] ⊦ ∃ lf. lf(0) = a ' ∧ (∀ m. m < 0 → lf(m + 1) = nextl(m, lf(m).last) ∧ lf(m) ≠ [])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 36:
∀ n, a. nextl(n, a) ≠ [] ⊦ ∃ lf. lf(0) = a '

Rule argument

Additional information

Used simplifier rules: zero-01: ⊦ ¬ m < 0; from specification nat-basic1