src/HOL/Analysis/Linear_Algebra.thy
changeset 70999 5b753486c075
parent 70817 dd675800469d
child 71040 9d2753406c60
--- a/src/HOL/Analysis/Linear_Algebra.thy	Fri Nov 01 19:40:55 2019 +0100
+++ b/src/HOL/Analysis/Linear_Algebra.thy	Sat Nov 02 14:31:34 2019 +0000
@@ -646,6 +646,11 @@
 
 lemmas linear_linear = linear_conv_bounded_linear[symmetric]
 
+lemma inj_linear_imp_inv_bounded_linear:
+  fixes f::"'a::euclidean_space \<Rightarrow> 'a"
+  shows "\<lbrakk>bounded_linear f; inj f\<rbrakk> \<Longrightarrow> bounded_linear (inv f)"
+  by (simp add: inj_linear_imp_inv_linear linear_linear)
+
 lemma linear_bounded_pos:
   fixes f :: "'a::euclidean_space \<Rightarrow> 'b::real_normed_vector"
   assumes lf: "linear f"