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Proof step 4 from proof nextli-lemma (previous step)

∀ n. lfgen(n)(0) = [] ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextli(lfgen(n)(m))) ⊦ lfgen(0)(0) = [] ∧ (∀ n. lfgen(n + 1)(n + 1) = nextli(lfgen(n)(n)))

User applied rule all left

And obtained the following new goals

Proof step 5:
lfgen(0)(0) = [] ∧ (∀ m. m < 0 → lfgen(0)(m + 1) = nextli(lfgen(0)(m))), ∀ n. lfgen(n)(0) = [] ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextli(lfgen(n)(m))) ⊦ lfgen(0)(0) = [] ∧ (∀ n. lfgen(n + 1)(n + 1) = nextli(lfgen(n)(n)))

Rule argument

pos: left 1 terms: 0 abort: F discard: F computed: T

Additional information

Used terms: 0