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Source file decidable.ml

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module type LAWS = sig
  type 'a t

  val decidable_1 : unit -> ('a -> Preface_core.Void.t, 'a t -> 'a t) Law.t
  val decidable_2 : unit -> ('a -> Preface_core.Void.t, 'a t -> 'a t) Law.t
end

module For (D : Preface_specs.DECIDABLE) : LAWS with type 'a t := 'a D.t =
struct
  open Law
  include Divisible.For (D)

  let decidable_1 () =
    let lhs f m = D.choose Either.left m (D.lose f)
    and rhs _ m = m in

    law ("choose Either.left m (lose f)" =~ lhs) ("m" =~ rhs)
  ;;

  let decidable_2 () =
    let lhs f m = D.choose Either.right (D.lose f) m
    and rhs _ m = m in

    law ("choose Either.right (lose f) m" =~ lhs) ("m" =~ rhs)
  ;;
end
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