LeanCat / CAT_statement /S_0028.lean
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import Mathlib
open CategoryTheory
theorem exists_sequence_of_distinct_adjoints_nat :
∃ G : ℕ → (ℕ ⥤ ℕ),
Function.Injective G ∧
(∀ x, (G 0).obj x = x + 1) ∧
(∀ n, Nonempty (G (n + 1) ⊣ G n)) := by
sorry