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

∀ m. lfgen(m)(0) = a ' ∧ iigen(m)(0) = n0 ∧ (∀ n. n ≤ m → lfgen(m)(n + 1) = nextl(iigen(m)(n), lfgen(m)(n).last) ∧ iigen(m)(n + 1) = nextj(iigen(m)(n), lfgen(m)(n).last)), ∀ m, n. m ≤ n → lfgen(n)(m) = lfgen(m)(m) ∧ iigen(n)(m) = iigen(m)(m) ⊦ lfgen(0)(0) = a ' ∧ iigen(0)(0) = n0 ∧ (∀ n. lfgen(n + 1)(n + 1) = nextl(iigen(n)(n), lfgen(n)(n).last) ∧ iigen(n + 1)(n + 1) = nextj(iigen(n)(n), lfgen(n)(n).last))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
∀ m. lfgen(m)(0) = a ' ∧ iigen(m)(0) = n0 ∧ (∀ n. n ≤ m → lfgen(m)(n + 1) = nextl(iigen(m)(n), lfgen(m)(n).last) ∧ iigen(m)(n + 1) = nextj(iigen(m)(n), lfgen(m)(n).last)), ∀ m, n. m ≤ n → lfgen(n)(m) = lfgen(m)(m) ∧ iigen(n)(m) = iigen(m)(m) ⊦ lfgen(0)(0) = a ' ∧ iigen(0)(0) = n0 ∧ lfgen(n + 1)(n + 1) = nextl(iigen(n)(n), lfgen(n)(n).last) ∧ iigen(n + 1)(n + 1) = nextj(iigen(n)(n), lfgen(n)(n).last)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information