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Proof step 16 from proof nextl-lemma-butlast-nonempty (previous step)

lfgen(0)(0) = a ', m ≤ n1, n1 ≤ n0, m ≤ n0, ∀ n. lfgen(n)(0) = a ' ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextl(m, lfgen(n)(m).last) ∧ lfgen(n)(m) ≠ []), ∀ n, a. nextl(n, a) ≠ [] ⊦ lfgen(n1)(m) = lfgen(n0)(m), lfgen(n + 1)(n + 1) = nextl(n, lfgen(n)(n).last) ∧ lfgen(n)(n) ≠ []

User applied rule weakening

And obtained the following new goals

Proof step 17:
lfgen(0)(0) = a ', m ≤ n1, n1 ≤ n0, m ≤ n0, ∀ n. lfgen(n)(0) = a ' ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextl(m, lfgen(n)(m).last) ∧ lfgen(n)(m) ≠ []), ∀ n, a. nextl(n, a) ≠ [] ⊦ lfgen(n1)(m) = lfgen(n0)(m)

Rule argument

poslist: right 2

Proof step 16 from proof nextl-lemma-butlast-nonempty (previous step)

User applied rule weakening

And obtained the following new goals

Rule argument

Additional information