blob: d4f400810b0450c38e604e59548fe55266cd0039 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2012 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
Require Export Bool.
Require Export LegacyRing_theory.
Require Export Quote.
Require Export Ring_normalize.
Require Export Ring_abstract.
Declare ML Module "ring_plugin".
(* As an example, we provide an instantation for bool. *)
(* Other instatiations are given in ArithRing and ZArithRing in the
same directory *)
Definition BoolTheory :
Ring_Theory xorb andb true false (fun b:bool => b) eqb.
split; simpl.
destruct n; destruct m; reflexivity.
destruct n; destruct m; destruct p; reflexivity.
destruct n; destruct m; reflexivity.
destruct n; destruct m; destruct p; reflexivity.
destruct n; reflexivity.
destruct n; reflexivity.
destruct n; reflexivity.
destruct n; destruct m; destruct p; reflexivity.
destruct x; destruct y; reflexivity || simpl; tauto.
Defined.
Add Legacy Ring bool xorb andb true false (fun b:bool => b) eqb BoolTheory
[ true false ].
|
