X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Flib%2Fsubset_ext_inclusion.ma;h=adc3fa667ff983dd6b574359daa1498fa65ab8d1;hp=f16fc373a77bcba518c1d9f5ec91978f33f9f84f;hb=8f1a123e61ff079b1f9ad63cc915470ec7e6abf3;hpb=df1bcd1387439133c0c33f597a5f8b2331c07772 diff --git a/matita/matita/contribs/lambdadelta/ground/lib/subset_ext_inclusion.ma b/matita/matita/contribs/lambdadelta/ground/lib/subset_ext_inclusion.ma index f16fc373a..adc3fa667 100644 --- a/matita/matita/contribs/lambdadelta/ground/lib/subset_ext_inclusion.ma +++ b/matita/matita/contribs/lambdadelta/ground/lib/subset_ext_inclusion.ma @@ -44,6 +44,13 @@ lemma subset_inclusion_ext_f1_compose_dx (A0) (A1) (A2) (f1) (f2) (u): /3 width=1 by subset_in_ext_f1_dx/ qed. +lemma subset_inclusion_ext_f1_1_bi (A11) (A21) (A0) (f1) (f2) (u11) (u21) (v11) (v21): + u11 ⊆ v11 → u21 ⊆ v21 → + subset_ext_f1_1 A11 A21 A0 f1 f2 u11 u21 ⊆ subset_ext_f1_1 A11 A21 A0 f1 f2 v11 v21. +#A11 #A21 #A0 #f1 #f2 #u11 #u21 #v11 #v21 #Huv11 #Huv21 #a0 * +/3 width=3 by subset_inclusion_ext_f1_bi, or_introl, or_intror/ +qed. + lemma subset_inclusion_ext_p1_trans (A1) (Q) (u1) (v1): u1 ⊆ v1 → subset_ext_p1 A1 Q v1 → subset_ext_p1 A1 Q u1. #A1 #Q #u1 #v1 #Huv1 #Hv1