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Re: [Coq-Club] problem with tactic-generated terms


Chronological Thread 
  • From: Jonathan <jonikelee AT gmail.com>
  • To: coq-club AT inria.fr
  • Subject: Re: [Coq-Club] problem with tactic-generated terms
  • Date: Fri, 12 Sep 2014 18:19:26 -0400

On 09/12/2014 06:10 PM, Adam Chlipala wrote:
On 09/12/2014 06:04 PM, Jonathan wrote:
Inductive Erasable(A : Type) : Prop :=
erasable: A -> Erasable A.

Arguments erasable [A] _.

Axiom Erasable_inj : forall {A : Type}{a b : A}, erasable a=erasable
b -> a=b.

We did the same thing in Ynot, and I think this axiom turned out to be inconsistent, period. You don't need to assume any others to run into trouble. I don't remember the details of the proof, though.

Wow - really? Does anyone remember those details?

-- Jonathan




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