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[Coq-Club] Can Type be Set?


chronological Thread 
  • From: Gert Smolka <smolka AT ps.uni-saarland.de>
  • To: Coq-Club <coq-club AT inria.fr>
  • Subject: [Coq-Club] Can Type be Set?
  • Date: Thu, 05 May 2011 17:49:36 +0200

So far I thought that "Type" is a placeholder
for a universe different from "Set" and "Prop".
But it turns out that

Check (fun X : Type => X) : Set -> Type.

is successful.  In fact, Coq replaces the left Type
with Set.  What is the motivation behind
this behavior?

- Gert







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