X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground_2%2Flib%2Fbool.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground_2%2Flib%2Fbool.ma;h=fed25ceda5ee8ce17d1c23c3e6e76e36401b5a8a;hb=928cfe1ebf2fbd31731c8851cdec70802596016d;hp=0000000000000000000000000000000000000000;hpb=cfc43911db215e21036317b26bd1dcf9c3e5d435;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/ground_2/lib/bool.ma b/matita/matita/contribs/lambdadelta/ground_2/lib/bool.ma new file mode 100644 index 000000000..fed25ceda --- /dev/null +++ b/matita/matita/contribs/lambdadelta/ground_2/lib/bool.ma @@ -0,0 +1,30 @@ +(**************************************************************************) +(* ___ *) +(* ||M|| *) +(* ||A|| A project by Andrea Asperti *) +(* ||T|| *) +(* ||I|| Developers: *) +(* ||T|| The HELM team. *) +(* ||A|| http://helm.cs.unibo.it *) +(* \ / *) +(* \ / This file is distributed under the terms of the *) +(* v GNU General Public License Version 2 *) +(* *) +(**************************************************************************) + +include "basics/bool.ma". +include "ground_2/notation/constructors/no_0.ma". +include "ground_2/notation/constructors/yes_0.ma". + +(* BOOLEAN PROPERTIES *******************************************************) + +interpretation "boolean false" 'no = false. + +interpretation "boolean true" 'yes = true. + +lemma orb_false_r: ∀b1,b2:bool. (b1 ∨ b2) = false → b1 = false ∧ b2 = false. +* normalize /2 width=1 by conj/ #b2 #H destruct +qed-. + +lemma commutative_orb: commutative … orb. +* * // qed.