https://github.com/coq-ext-lib/coq-ext-lib
Tip revision: d8d0bb34aad698d98687d625ba7fe45b08a58c6e authored by Gregory Malecha on 29 October 2016, 22:40:40 UTC
simplify universes in Hlist.
simplify universes in Hlist.
Tip revision: d8d0bb3
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.