# HG changeset patch # User hoelzl # Date 1412683344 -7200 # Node ID 5b7f0b5da8848553550d156d7b1a30faf5058f03 # Parent 1f90ea1b40104bded42ad13562624e93196e82b9 fix document generation for HOL-Probability diff -r 1f90ea1b4010 -r 5b7f0b5da884 src/HOL/Probability/Giry_Monad.thy --- a/src/HOL/Probability/Giry_Monad.thy Tue Oct 07 10:48:29 2014 +0200 +++ b/src/HOL/Probability/Giry_Monad.thy Tue Oct 07 14:02:24 2014 +0200 @@ -817,7 +817,7 @@ finally show ?thesis .. qed -section {* Measures are \omega-chain complete partial orders *} +section {* Measures form a $\omega$-chain complete partial order *} definition SUP_measure :: "(nat \ 'a measure) \ 'a measure" where "SUP_measure M = measure_of (\i. space (M i)) (\i. sets (M i)) (\A. SUP i. emeasure (M i) A)" diff -r 1f90ea1b4010 -r 5b7f0b5da884 src/HOL/Probability/Sigma_Algebra.thy --- a/src/HOL/Probability/Sigma_Algebra.thy Tue Oct 07 10:48:29 2014 +0200 +++ b/src/HOL/Probability/Sigma_Algebra.thy Tue Oct 07 14:02:24 2014 +0200 @@ -2222,7 +2222,7 @@ using emeasure_extend_measure[OF M _ _ ms(2,3), of "(i,j)"] eq ms(1) `I i j` by (auto simp: subset_eq) -subsubsection {* Supremum of a set of \sigma-algebras *} +subsubsection {* Supremum of a set of $\sigma$-algebras *} definition "Sup_sigma M = sigma (\x\M. space x) (\x\M. sets x)" @@ -2274,7 +2274,7 @@ using measurable_space[OF f] M by auto qed (auto intro: measurable_sets f dest: sets.sets_into_space) -subsection {* The smallest \sigma-algebra regarding a function *} +subsection {* The smallest $\sigma$-algebra regarding a function *} definition "vimage_algebra X f M = sigma X {f -` A \ X | A. A \ sets M}" diff -r 1f90ea1b4010 -r 5b7f0b5da884 src/HOL/Probability/document/root.tex --- a/src/HOL/Probability/document/root.tex Tue Oct 07 10:48:29 2014 +0200 +++ b/src/HOL/Probability/document/root.tex Tue Oct 07 14:02:24 2014 +0200 @@ -6,6 +6,7 @@ \usepackage[only,bigsqcap]{stmaryrd} \usepackage[utf8]{inputenc} \usepackage{pdfsetup} +\usepackage[english]{babel} \urlstyle{rm} \isabellestyle{it}