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[Coq-Club] Not sure if this is the right forum for beginners' questions, however .....


Chronological Thread 
  • From: Satrajit Roy <satrajit.roy AT gmail.com>
  • To: coq-club AT inria.fr
  • Subject: [Coq-Club] Not sure if this is the right forum for beginners' questions, however .....
  • Date: Fri, 6 Sep 2013 19:27:34 -0400

Why can't I prove:
 
forall p:Type->Prop, ~(forall q:Type, (p q))->(exists q:Type, ~(p q))
 
When I can easily prove:
 
forall p:Type->Prop, exists q, ~p q->~forall q, p q
 
or prove:
 
forall p:Type->Prop, ~exists q, p q->forall q, ~p q
 
or even prove:
 
forall p:Type->Prop, forall q, p q->~exists q, ~p q

--

Satrajit



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