diff -r e4abb5235c5e -r b7ef9090feed src/HOL/Analysis/T1_Spaces.thy --- a/src/HOL/Analysis/T1_Spaces.thy Thu Apr 25 10:19:48 2019 +0200 +++ b/src/HOL/Analysis/T1_Spaces.thy Fri Apr 26 16:51:40 2019 +0100 @@ -507,22 +507,22 @@ qed lemma continuous_imp_closed_map: - "\compact_space X; Hausdorff_space Y; continuous_map X Y f\ \ closed_map X Y f" + "\continuous_map X Y f; compact_space X; Hausdorff_space Y\ \ closed_map X Y f" by (meson closed_map_def closedin_compact_space compactin_imp_closedin image_compactin) lemma continuous_imp_quotient_map: - "\compact_space X; Hausdorff_space Y; continuous_map X Y f; f ` (topspace X) = topspace Y\ + "\continuous_map X Y f; compact_space X; Hausdorff_space Y; f ` (topspace X) = topspace Y\ \ quotient_map X Y f" by (simp add: continuous_imp_closed_map continuous_closed_imp_quotient_map) lemma continuous_imp_homeomorphic_map: - "\compact_space X; Hausdorff_space Y; continuous_map X Y f; + "\continuous_map X Y f; compact_space X; Hausdorff_space Y; f ` (topspace X) = topspace Y; inj_on f (topspace X)\ \ homeomorphic_map X Y f" by (simp add: continuous_imp_closed_map bijective_closed_imp_homeomorphic_map) lemma continuous_imp_embedding_map: - "\compact_space X; Hausdorff_space Y; continuous_map X Y f; inj_on f (topspace X)\ + "\continuous_map X Y f; compact_space X; Hausdorff_space Y; inj_on f (topspace X)\ \ embedding_map X Y f" by (simp add: continuous_imp_closed_map injective_closed_imp_embedding_map)