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+Module NonPrim.
+ Unset Primitive Projections.
+ Record hProp := hp { hproptype :> Type }.
+ Goal forall (h : (Type -> hProp) -> (Type -> hProp)) k f,
+ (forall y, h y = y) ->
+ h (fun b : Type => {| hproptype := f b |}) = k.
+ Proof.
+ intros h k f H.
+ etransitivity.
+ apply H.
+ admit.
+ Defined.
+End NonPrim.
+Module Prim.
+ Set Primitive Projections.
+ Record hProp := hp { hproptype :> Type }.
+ Goal forall (h : (Type -> hProp) -> (Type -> hProp)) k f,
+ (forall y, h y = y) ->
+ h (fun b : Type => {| hproptype := f b |}) = k.
+ Proof.
+ intros h k f H.
+ etransitivity.
+ apply H.