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Proof step 18 from proof nextnli-lemma (previous step)

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

User applied rule all left

And obtained the following new goals

Proof step 19:
n1 ≤ n0, lfgen(n1)(0) = x ∧ (∀ m. m < n1 → lfgen(n1)(m + 1) = nextnli(lfgen(n1)(m), m)), ∀ n. lfgen(n)(0) = x ∧ (∀ m. m < n → lfgen(n)(m + 1) = nextnli(lfgen(n)(m), m)) ⊦ lfgen(n1)(0) = lfgen(n0)(0)

Rule argument

pos: left 2 terms: n1 abort: F discard: F computed: T

Additional information

Used terms: n1