https://github.com/coq-ext-lib/coq-ext-lib
Tip revision: 554158186c8d9ad76083786bf86256540ab66bbc authored by Gregory Malecha on 12 April 2016, 11:12:11 UTC
fixing universe polymorphism for 8.5pl1
fixing universe polymorphism for 8.5pl1
Tip revision: 5541581
ConsiderDemo.v
Require NPeano.
Import NPeano.Nat.
Require Import ExtLib.Tactics.Consider.
Set Implicit Arguments.
Set Strict Implicit.
(** Some tests *)
Section test.
Require Import NPeano Coq.Bool.Bool.
Require Import ExtLib.Data.Nat.
Require Import Omega.
Goal forall x y z, (ltb x y && ltb y z) = true ->
ltb x z = true.
intros x y z.
consider (ltb x y && ltb y z).
consider (ltb x z); auto. intros. exfalso. omega.
Qed.
Goal forall x y z,
ltb x y = true ->
ltb y z = true ->
ltb x z = true.
Proof.
intros. consider (ltb x y); consider (ltb y z); consider (ltb x z); intros; auto.
exfalso; omega.
Qed.
End test.