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11 lines
365 B
Idris
11 lines
365 B
Idris
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module Tricho
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data Trichotomy : (eq, lt : a -> a -> Type) -> (a -> a -> Type) where
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LT : {0 x, y : a} -> lt x y -> Trichotomy eq lt x y
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EQ : {0 x, y : a} -> eq x y -> Trichotomy eq lt x x
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GT : {0 x, y : a} -> lt y x -> Trichotomy eq lt x y
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interface Trichotomous (a : Type) (eq, lt : a -> a -> Type) where
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trichotomy : (x, y : a) -> Trichotomy eq lt x y
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