Mercurial > hg > Papers > 2020 > soto-midterm
annotate src/NatAddSym.agda.replaced @ 1:73127e0ab57c
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author | soto@cr.ie.u-ryukyu.ac.jp |
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date | Tue, 08 Sep 2020 18:38:08 +0900 |
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1 | 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 |