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Proof step 7 from proof nextl-lemma-butlast (previous step)

lfgen(0)(0) = a ' ∧ (∀ m. m < 0 → lfgen(0)(m + 1) = nextl(m, lfgen(0)(m).last)), ∀ n. lfgen(n)(0) = a ' ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextl(m, lfgen(n)(m).last)) ⊦ lfgen(0)(0) = a ' ∧ lfgen(n + 1)(n + 1) = nextl(n, lfgen(n)(n).last)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
lfgen(0)(0) = a ', ∀ n. lfgen(n)(0) = a ' ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextl(m, lfgen(n)(m).last)) ⊦ lfgen(n + 1)(n + 1) = nextl(n, lfgen(n)(n).last)

Rule argument

Additional information

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