Mercurial > hg > Papers > 2019 > oshiro-thesis
comparison final_pre/src/NatAddSym.agda @ 7:0e8b9646d43f
add final_pre
| author | e155702 |
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| date | Sun, 17 Feb 2019 05:39:59 +0900 |
| parents | |
| children |
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| 6:8f5d263c219b | 7:0e8b9646d43f |
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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) = {!!} -- 後述 |