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Proof step 28 from proof nextnli-lemma (previous step)

lfgen(n1)(m0) = lfgen(n0)(m0), lfgen(n1)(m0 + 1) = nextnli(lfgen(n0)(m0), m0), m0 < n1, n1 ≤ n0, m0 < n0, ∀ n. lfgen(n)(0) = lfgen(n1)(0) ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextnli(lfgen(n)(m), m)) ⊦ lfgen(n1)(m0 + 1) = lfgen(n0)(m0 + 1), n1 = 0, n0 = 0

User applied rule all left

And obtained the following new goals

Proof step 29:
lfgen(n1)(m0) = lfgen(n0)(m0), lfgen(n1)(m0 + 1) = nextnli(lfgen(n0)(m0), m0), m0 < n1, n1 ≤ n0, m0 < n0, lfgen(n0)(0) = lfgen(n1)(0) ∧ (∀ m. m < n0 → lfgen(n0)(m + 1) = nextnli(lfgen(n0)(m), m)) ⊦ lfgen(n1)(m0 + 1) = lfgen(n0)(m0 + 1), n1 = 0, n0 = 0

Rule argument

pos: left 6 terms: n0 abort: F discard: T computed: F

Additional information

Used terms: n0