diff -r dc746d43f40e -r a4abec71279a src/HOL/Analysis/Homeomorphism.thy --- a/src/HOL/Analysis/Homeomorphism.thy Tue Feb 28 08:18:12 2017 +0100 +++ b/src/HOL/Analysis/Homeomorphism.thy Tue Feb 28 13:51:47 2017 +0000 @@ -1330,7 +1330,7 @@ shows "g1 x = g2 x" proof - have "U \ T" by (rule in_components_subset [OF u_compt]) - def G12 \ "{x \ U. g1 x - g2 x = 0}" + define G12 where "G12 \ {x \ U. g1 x - g2 x = 0}" have "connected U" by (rule in_components_connected [OF u_compt]) have contu: "continuous_on U g1" "continuous_on U g2" using \U \ T\ continuous_on_subset g1 g2 by blast+