diff -r 82a604715919 -r dc85b5b3a532 src/HOL/Analysis/Topology_Euclidean_Space.thy --- a/src/HOL/Analysis/Topology_Euclidean_Space.thy Tue Jan 22 10:50:47 2019 +0000 +++ b/src/HOL/Analysis/Topology_Euclidean_Space.thy Tue Jan 22 12:00:16 2019 +0000 @@ -154,7 +154,7 @@ proof assume ?lhs then have "0 < r'" - by (metis (no_types) False \?lhs\ centre_in_ball dist_norm le_less_trans mem_ball norm_ge_zero not_less set_mp) + by (metis (no_types) False \?lhs\ centre_in_ball dist_norm le_less_trans mem_ball norm_ge_zero not_less subsetD) then have "(cball a r \ cball a' r')" by (metis False\?lhs\ closure_ball closure_mono not_less) then show ?rhs