Mercurial > hg > Papers > 2021 > soto-thesis
comparison paper/src/NatAddSym.agda.replaced @ 3:959f4b34d6f4
add final thesis
| author | soto |
|---|---|
| date | Tue, 09 Feb 2021 18:44:53 +0900 |
| parents | |
| children |
comparison
equal
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| 2:2c50fd1d115e | 3:959f4b34d6f4 |
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| 1 open import Relation.Binary.PropositionalEquality | |
| 2 open import nat | |
| 3 open import nat_add | |
| 4 open @$\equiv$@-Reasoning | |
| 5 | |
| 6 module nat_add_sym where | |
| 7 | |
| 8 addSym : (n m : Nat) @$\rightarrow$@ n + m @$\equiv$@ 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 |