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src/HOL/Metis_Examples/Big_O.thy
changeset 80914 d97fdabd9e2b
parent 74690 55a4b319b2b9 
--- a/src/HOL/Metis_Examples/Big_O.thy	Fri Sep 20 19:07:10 2024 +0200
+++ b/src/HOL/Metis_Examples/Big_O.thy	Fri Sep 20 19:51:08 2024 +0200
@@ -16,7 +16,7 @@
 
 subsection \<open>Definitions\<close>
 
-definition bigo :: "('a => 'b::linordered_idom) => ('a => 'b) set" ("(1O'(_'))") where
+definition bigo :: "('a => 'b::linordered_idom) => ('a => 'b) set" (\<open>(1O'(_'))\<close>) where
   "O(f::('a => 'b)) == {h. \<exists>c. \<forall>x. \<bar>h x\<bar> <= c * \<bar>f x\<bar>}"
 
 lemma bigo_pos_const:
@@ -610,7 +610,7 @@
 
 subsection \<open>Less than or equal to\<close>
 
-definition lesso :: "('a => 'b::linordered_idom) => ('a => 'b) => ('a => 'b)" (infixl "<o" 70) where
+definition lesso :: "('a => 'b::linordered_idom) => ('a => 'b) => ('a => 'b)" (infixl \<open><o\<close> 70) where
   "f <o g == (\<lambda>x. max (f x - g x) 0)"
 
 lemma bigo_lesseq1: "f =o O(h) \<Longrightarrow> \<forall>x. \<bar>g x\<bar> <= \<bar>f x\<bar> \<Longrightarrow>
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