Mercurial > hg > Papers > 2020 > soto-midterm
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author | soto@cr.ie.u-ryukyu.ac.jp |
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date | Tue, 08 Sep 2020 18:38:08 +0900 |
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+-comm : (x y : ℕ) → x + y ≡ y + x +-comm zero y rewrite (+zero {y}) = refl +-comm (suc x) y = let open ≡-Reasoning in begin (suc x) + y ≡⟨⟩ suc (x + y) ≡⟨ cong suc (+-comm x y) ⟩ suc (y + x) ≡⟨ ?0 ⟩ ?1 ∎ -- ?0 : suc (y + x) ≡ y + suc x -- ?1 : y + suc x