+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| A.Asperti, C.Sacerdoti Coen, *)
-(* ||A|| E.Tassi, S.Zacchiroli *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU Lesser General Public License Version 2.1 *)
-(* *)
-(**************************************************************************)
-
-set "baseuri" "cic:/matita/bool/".
-
-inductive bool : Set \def
- | true : bool
- | false : bool.
-
-definition notb : bool \to bool \def
-\lambda b:bool.
- match b with
- [ true \Rightarrow false
- | false \Rightarrow true ].
-
-definition andb : bool \to bool \to bool\def
-\lambda b1,b2:bool.
- match b1 with
- [ true \Rightarrow
- match b2 with [true \Rightarrow true | false \Rightarrow false]
- | false \Rightarrow false ].
-
-definition orb : bool \to bool \to bool\def
-\lambda b1,b2:bool.
- match b1 with
- [ true \Rightarrow
- match b2 with [true \Rightarrow true | false \Rightarrow false]
- | false \Rightarrow false ].
-
-definition if_then_else : bool \to Prop \to Prop \to Prop \def
-\lambda b:bool.\lambda P,Q:Prop.
-match b with
-[ true \Rightarrow P
-| false \Rightarrow Q].