# HG changeset patch # User nipkow # Date 1513800368 -3600 # Node ID 754952c12293f4e439853e0cf283aa4fe115fc1d # Parent b2800da9eb8ad129c1a992da417cd9567572312e tuned op's diff -r b2800da9eb8a -r 754952c12293 src/HOL/Topological_Spaces.thy --- a/src/HOL/Topological_Spaces.thy Wed Dec 20 19:17:37 2017 +0100 +++ b/src/HOL/Topological_Spaces.thy Wed Dec 20 21:06:08 2017 +0100 @@ -2158,11 +2158,11 @@ lemma compactE_image: assumes "compact S" - and op: "\T. T \ C \ open (f T)" + and opn: "\T. T \ C \ open (f T)" and S: "S \ (\c\C. f c)" obtains C' where "C' \ C" and "finite C'" and "S \ (\c\C'. f c)" apply (rule compactE[OF \compact S\ S]) - using op apply force + using opn apply force by (metis finite_subset_image) lemma compact_Int_closed [intro]: