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Proof step 25 from proof nextli-lemma (previous step)

lfgen(0)(0) = [], lfgen(n1)(m0) = lfgen(n0)(m0), lfgen(n1)(0) = [], m0 < n1, n1 ≤ n0, m0 < n0, ∀ m. m < n1 → lfgen(n1)(m + 1) = nextli(lfgen(n1)(m)), ∀ n. lfgen(n)(0) = [] ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextli(lfgen(n)(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 26:
lfgen(0)(0) = [], lfgen(n1)(m0) = lfgen(n0)(m0), lfgen(n1)(0) = [], m0 < n1, n1 ≤ n0, m0 < n0, m0 < n1 → lfgen(n1)(m0 + 1) = nextli(lfgen(n1)(m0)), ∀ n. lfgen(n)(0) = [] ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextli(lfgen(n)(m))) ⊦ lfgen(n1)(m0 + 1) = lfgen(n0)(m0 + 1), n1 = 0, n0 = 0

Rule argument

pos: left 7 terms: m0 abort: F discard: T computed: T

Additional information

Used terms: m0