Mercurial > hg > Papers > 2017 > atton-master
comparison paper/src/NatAddSym.agda @ 55:70bea06ebdf3
Add reasoning
| author | atton <atton@cr.ie.u-ryukyu.ac.jp> |
|---|---|
| date | Tue, 31 Jan 2017 17:30:07 +0900 |
| parents | |
| children | 10a550bf7e4a |
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| 54:ef9730f3db8d | 55:70bea06ebdf3 |
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| 1 open import Relation.Binary.PropositionalEquality | |
| 2 open import nat | |
| 3 open import nat_add | |
| 4 open ≡-Reasoning | |
| 5 | |
| 6 module nat_add_sym where | |
| 7 | |
| 8 addSym : (n m : Nat) -> n + m ≡ m + n | |
| 9 addSym O O = refl | |
| 10 addSym O (S m) = cong S (addSym O m) | |
| 11 addSym (S n) O = cong S (addSym n O) | |
| 12 addSym (S n) (S m) = {!!} | |
| 13 | |
| 14 |