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AndyShiue/oneplusone.agda

Last active December 12, 2023 15:31
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1 + 1 == 2
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oneplusone.agda
data Nat : Set where
zero : Nat
succ : Nat -> Nat
{-# BUILTIN NATURAL Nat #-}
infix 30 _+_
_+_ : Nat -> Nat -> Nat
0 + n = n
succ m + n = succ (m + n)
data _==_ {a} {A : Set a} (x : A) : A -> Set a where
refl : x == x
oneplusoneequalstwo : 1 + 1 == 2
oneplusoneequalstwo = refl
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