X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=helm%2Fsoftware%2Fmatita%2Flibrary%2Fdidactic%2Fexercises%2Fsubstitution.ma;h=8ac8fbc1e96223fc8904d29462aa6842d80bae38;hb=47070cf066ae366ac7f3e73594f1bc02b0efb7f4;hp=0c9b86b0057df354d08c636b07b0c2a9d1086f8d;hpb=1a506c25fe9952e1fee371f164d11837619dbac7;p=helm.git diff --git a/helm/software/matita/library/didactic/exercises/substitution.ma b/helm/software/matita/library/didactic/exercises/substitution.ma index 0c9b86b00..8ac8fbc1e 100644 --- a/helm/software/matita/library/didactic/exercises/substitution.ma +++ b/helm/software/matita/library/didactic/exercises/substitution.ma @@ -1,3 +1,17 @@ +(**************************************************************************) +(* ___ *) +(* ||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 *) +(* *) +(**************************************************************************) + (* Esercizio 0 =========== @@ -456,8 +470,8 @@ case FAnd. by (*BEGIN*)IH22(*END*) we proved ([[ F2[ G1/x ] ]]_v = [[ F2[ G2/x ] ]]_v) (IH222). conclude (min ([[ F1[ G1/x ] ]]_v) ([[ F2[ G1/x ] ]]_v)) - = (min ([[ F1[ G2/x ] ]]_v) ([[ F2[ G1/x ] ]]_v)) by IH222. - = (min ([[(F1[ G2/x ])]]_v) ([[(F2[ G2/x ])]]_v)) by (*BEGIN*)IH111(*END*). + = (min ([[ F1[ G2/x ] ]]_v) ([[ F2[ G1/x ] ]]_v)) by IH111. + = (min ([[(F1[ G2/x ])]]_v) ([[(F2[ G2/x ])]]_v)) by (*BEGIN*)IH222(*END*). (*END*) done. case FOr. @@ -478,8 +492,8 @@ case FOr. by IH22 we proved ([[ F2[ G1/x ] ]]_v = [[ F2[ G2/x ] ]]_v) (IH222). conclude (max ([[ F1[ G1/x ] ]]_v) ([[ F2[ G1/x ] ]]_v)) - = (max ([[ F1[ G2/x ] ]]_v) ([[ F2[ G1/x ] ]]_v)) by IH222. - = (max ([[(F1[ G2/x ])]]_v) ([[(F2[ G2/x ])]]_v)) by IH111. + = (max ([[ F1[ G2/x ] ]]_v) ([[ F2[ G1/x ] ]]_v)) by IH111. + = (max ([[(F1[ G2/x ])]]_v) ([[(F2[ G2/x ])]]_v)) by IH222. (*END*) done. case FImpl.