X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fsubstitution%2Flsuby_lsuby.ma;h=ff914eca7477cf7f4639aec609ec38de1ae3b4b4;hb=c60524dec7ace912c416a90d6b926bee8553250b;hp=c3b792c428143e557b611de617444a45597b1eb4;hpb=f10cfe417b6b8ec1c7ac85c6ecf5fb1b3fdf37db;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/substitution/lsuby_lsuby.ma b/matita/matita/contribs/lambdadelta/basic_2/substitution/lsuby_lsuby.ma index c3b792c42..ff914eca7 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/substitution/lsuby_lsuby.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/substitution/lsuby_lsuby.ma @@ -18,15 +18,15 @@ include "basic_2/substitution/lsuby.ma". (* Main properties **********************************************************) -theorem lsuby_trans: ∀d,e. Transitive … (lsuby d e). -#d #e #L1 #L2 #H elim H -L1 -L2 -d -e -[ #L1 #d #e #X #H lapply (lsuby_inv_atom1 … H) -H +theorem lsuby_trans: ∀l,m. Transitive … (lsuby l m). +#l #m #L1 #L2 #H elim H -L1 -L2 -l -m +[ #L1 #l #m #X #H lapply (lsuby_inv_atom1 … H) -H #H destruct // | #I1 #I2 #L1 #L #V1 #V #_ #IHL1 #X #H elim (lsuby_inv_zero1 … H) -H // * #I2 #L2 #V2 #HL2 #H destruct /3 width=1 by lsuby_zero/ -| #I1 #I2 #L1 #L2 #V #e #_ #IHL1 #X #H elim (lsuby_inv_pair1 … H) -H // +| #I1 #I2 #L1 #L2 #V #m #_ #IHL1 #X #H elim (lsuby_inv_pair1 … H) -H // * #I2 #L2 #HL2 #H destruct /3 width=1 by lsuby_pair/ -| #I1 #I2 #L1 #L2 #V1 #V2 #d #e #_ #IHL1 #X #H elim (lsuby_inv_succ1 … H) -H // +| #I1 #I2 #L1 #L2 #V1 #V2 #l #m #_ #IHL1 #X #H elim (lsuby_inv_succ1 … H) -H // * #I2 #L2 #V2 #HL2 #H destruct /3 width=1 by lsuby_succ/ ] qed-.