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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.
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