have natOrderTri : AA.ExactlyOneOfThree (n < m) (n ≃ m) (n > m) :=
  Natural.trichotomy n m
ℕ : Type
inst✝ : Natural ℕ
n m : ℕ
⊢ AA.ExactlyOneOfThree (n——m ≃ 0) (Positive (n——m)) (Negative (n——m))
ℕ : Type
inst✝ : Natural ℕ
n m : ℕ
natOrderTri : AA.ExactlyOneOfThree (n < m) (n ≃ m) (n > m)
⊢ AA.ExactlyOneOfThree (n——m ≃ 0) (Positive (n——m)) (Negative (n——m))