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Proof step 37 from proof nextnli-lemma (previous step)

∀ x, nextnli. ∃ lf. lf(0) = x ∧ (∀ m. m < n0 → lf(m + 1) = nextnli(lf(m), m)) ⊦ ∃ lf. lf(0) = x ∧ (∀ m. ¬ n0 < m → lf(m + 1) = nextnli(lf(m), m))

User applied rule all left

And obtained the following new goals

Proof step 38:
∃ lf. lf(0) = x ∧ (∀ m. m < n0 → lf(m + 1) = nextnli(lf(m), m)) ⊦ ∃ lf. lf(0) = x ∧ (∀ m. ¬ n0 < m → lf(m + 1) = nextnli(lf(m), m))

Rule argument

pos: left 1 terms: x, nextnli abort: F discard: T computed: T

Additional information

Used terms: x, nextnli