Mercurial > hg > Papers > 2020 > soto-midterm

comparison src/NatAddSym.agda @ 1:73127e0ab57c

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author soto@cr.ie.u-ryukyu.ac.jp
date Tue, 08 Sep 2020 18:38:08 +0900
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0:b919985837a3 1:73127e0ab57c
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