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diff Paper/src/agda-term2.agda @ 0:14a0e409d574

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author soto <soto@cr.ie.u-ryukyu.ac.jp>
date Sun, 24 Apr 2022 23:13:44 +0900
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/Paper/src/agda-term2.agda	Sun Apr 24 23:13:44 2022 +0900
@@ -0,0 +1,11 @@
++-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