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[Coq-Club] coq tatic help


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  • From: 朱立平 <zlponline AT 163.com>
  • To: "coq-club AT inria.fr" <coq-club AT inria.fr>
  • Subject: [Coq-Club] coq tatic help
  • Date: Sun, 17 Mar 2019 19:27:26 +0800 (CST)
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  • Ironport-phdr: 9a23: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

Since omega works in the following proof.
Require Import ZArith.

Lemma test1:
  forall a, a<3 -> a+3<6.
Proof.
intros.
omega.
Qed.

I wonder why error occurs at this:
Definition ea_in_range (ea:nat) : Prop := ea < 3.

Lemma test2:
  forall a, ea_in_range a -> a+3<6.
Proof.
intros.
omega. 
Error: Omega can't solve this system

Best Regards,
Julian


 




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