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(************************************************************************)
(* * The Coq Proof Assistant / The Coq Development Team *)
(* v * Copyright INRIA, CNRS and contributors *)
(* <O___,, * (see version control and CREDITS file for authors & dates) *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(* * (see LICENSE file for the text of the license) *)
(************************************************************************)
Require Import Ltac2.Init.
(** * Boolean operators *)
Ltac2 and x y :=
match x with
| true => y
| false => false
end.
Ltac2 or x y :=
match x with
| true => true
| false => y
end.
Ltac2 impl x y :=
match x with
| true => y
| false => true
end.
Ltac2 neg x :=
match x with
| true => false
| false => true
end.
Ltac2 xor x y :=
match x with
| true
=> match y with
| true => false
| false => true
end
| false
=> match y with
| true => true
| false => false
end
end.
Ltac2 equal x y :=
match x with
| true
=> match y with
| true => true
| false => false
end
| false
=> match y with
| true => false
| false => true
end
end.
(** * Boolean operators with lazy evaluation of the second argument *)
(** We place the notations in a separate module so that we can import them separately *)
Module Export BoolNotations.
Ltac2 Notation x(self) "&&" y(thunk(self)) : 2 :=
match x with
| true => y ()
| false => false
end.
Ltac2 Notation x(self) "||" y(thunk(self)) : 3 :=
match x with
| true => true
| false => y ()
end.
End BoolNotations.
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