Mercurial > hg > Papers > 2020 > ryokka-master
comparison paper/src/agda-term2.agda.replaced @ 7:8ef64db63497
fix agda.tex
| author | ryokka |
|---|---|
| date | Thu, 06 Feb 2020 19:24:32 +0900 |
| parents | |
| children |
comparison
equal
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| 6:d30593612a38 | 7:8ef64db63497 |
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| 1 +-comm : (x y : @$\mathbb{N}$@) @$\rightarrow$@ x + y @$\equiv$@ y + x | |
| 2 +-comm zero y rewrite (+zero {y}) = refl | |
| 3 +-comm (suc x) y = let open @$\equiv$@-Reasoning in | |
| 4 begin | |
| 5 (suc x) + y @$\equiv$@@$\langle$@@$\rangle$@ | |
| 6 suc (x + y) @$\equiv$@@$\langle$@ cong suc (+-comm x y) @$\rangle$@ | |
| 7 suc (y + x) @$\equiv$@@$\langle$@ ?0 @$\rangle$@ | |
| 8 ?1 @$\blacksquare$@ | |
| 9 | |
| 10 -- ?0 : suc (y + x) @$\equiv$@ y + suc x | |
| 11 -- ?1 : y + suc x |