--- a/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thy Mon Mar 07 23:20:11 2016 +0100
+++ b/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thy Wed Mar 09 17:16:08 2016 +0000
@@ -443,7 +443,7 @@
"f holomorphic_on s \<Longrightarrow> continuous_on s f"
by (metis field_differentiable_imp_continuous_at continuous_on_eq_continuous_within holomorphic_on_def)
-lemma holomorphic_on_subset:
+lemma holomorphic_on_subset [elim]:
"f holomorphic_on s \<Longrightarrow> t \<subseteq> s \<Longrightarrow> f holomorphic_on t"
unfolding holomorphic_on_def
by (metis field_differentiable_within_subset subsetD)