Created
April 30, 2020 21:43
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import Interfaces.Verified | |
%default total | |
data Face = Frown | Smile | |
Semigroup Face where | |
Smile <+> Smile = Smile | |
Smile <+> Frown = Frown | |
Frown <+> Smile = Frown | |
Frown <+> Frown = Frown | |
VerifiedSemigroup Face where | |
semigroupOpIsAssociative Frown Frown Frown = Refl | |
semigroupOpIsAssociative Frown Frown Smile = Refl | |
semigroupOpIsAssociative Frown Smile Frown = Refl | |
semigroupOpIsAssociative Frown Smile Smile = Refl | |
semigroupOpIsAssociative Smile Frown Frown = Refl | |
semigroupOpIsAssociative Smile Frown Smile = Refl | |
semigroupOpIsAssociative Smile Smile Frown = Refl | |
semigroupOpIsAssociative Smile Smile Smile = Refl | |
Monoid Face where | |
neutral = Smile | |
VerifiedMonoid Face where | |
monoidNeutralIsNeutralL Frown = Refl | |
monoidNeutralIsNeutralL Smile = Refl | |
monoidNeutralIsNeutralR Frown = Refl | |
monoidNeutralIsNeutralR Smile = Refl |
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