src/HOL/Analysis/Tagged_Division.thy
changeset 69712 dc85b5b3a532
parent 69683 8b3458ca0762
child 69722 b5163b2132c5
equal deleted inserted replaced
69711:82a604715919 69712:dc85b5b3a532
   912     show "interior S \<inter> interior m = {}" if "m \<in> r1 - p" for m 
   912     show "interior S \<inter> interior m = {}" if "m \<in> r1 - p" for m 
   913     proof -
   913     proof -
   914       have "interior m \<inter> interior (\<Union>p) = {}"
   914       have "interior m \<inter> interior (\<Union>p) = {}"
   915       proof (rule Int_interior_Union_intervals)
   915       proof (rule Int_interior_Union_intervals)
   916         show "\<And>T. T\<in>p \<Longrightarrow> interior m \<inter> interior T = {}"
   916         show "\<And>T. T\<in>p \<Longrightarrow> interior m \<inter> interior T = {}"
   917           by (metis DiffD1 DiffD2 that r1(1) r1(7) set_rev_mp)
   917           by (metis DiffD1 DiffD2 that r1(1) r1(7) rev_subsetD)
   918       qed (use divp in auto)
   918       qed (use divp in auto)
   919       then show "interior S \<inter> interior m = {}"
   919       then show "interior S \<inter> interior m = {}"
   920         unfolding divp by auto
   920         unfolding divp by auto
   921     qed 
   921     qed 
   922   qed (use r1 in auto)
   922   qed (use r1 in auto)