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[Coq-Club] prod is still polymorphic over sort Type/Prop ?


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  • From: Abhishek Anand <abhishek.anand.iitg AT gmail.com>
  • To: coq-club <coq-club AT inria.fr>
  • Subject: [Coq-Club] prod is still polymorphic over sort Type/Prop ?
  • Date: Mon, 19 Sep 2016 13:28:17 -0400
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(* checked in Coq versions 8.5pl1 and 8.5pl2 *)

Variable A:Prop.
Variable B:Prop.
Variable AT:Type.
Variable BT:Type.

Check (prod AT BT).
(* Type *)

Fail Check ((prod AT BT):Prop).

Check (A:Type).

Check ((prod A B)).
(* Prop 

How is this justified? 
I expected Type.
*)

Check prod.
(*
prod
     : Type -> Type -> Type
*)

Fail Check (AT:Prop).





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