Mercurial > hg > Papers > 2021 > soto-thesis
diff paper/src/NatAddSym.agda.replaced @ 3:959f4b34d6f4
add final thesis
author | soto |
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date | Tue, 09 Feb 2021 18:44:53 +0900 (2021-02-09) |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/paper/src/NatAddSym.agda.replaced Tue Feb 09 18:44:53 2021 +0900 @@ -0,0 +1,12 @@ +open import Relation.Binary.PropositionalEquality +open import nat +open import nat_add +open @$\equiv$@-Reasoning + +module nat_add_sym where + +addSym : (n m : Nat) @$\rightarrow$@ n + m @$\equiv$@ m + n +addSym O O = refl +addSym O (S m) = cong S (addSym O m) +addSym (S n) O = cong S (addSym n O) +addSym (S n) (S m) = {!!} -- 後述