# HG changeset patch # User hoelzl # Date 1300820770 -3600 # Node ID 66c8281349ecc1ace84065b241d27e0bd580ad42 # Parent 6db76c88907a2737cc04b117def32b955ed4a9e2 standardized headers diff -r 6db76c88907a -r 66c8281349ec src/HOL/Probability/Borel_Space.thy --- a/src/HOL/Probability/Borel_Space.thy Tue Mar 22 18:53:05 2011 +0100 +++ b/src/HOL/Probability/Borel_Space.thy Tue Mar 22 20:06:10 2011 +0100 @@ -1,4 +1,7 @@ -(* Author: Armin Heller, Johannes Hoelzl, TU Muenchen *) +(* Title: HOL/Probability/Lebesgue_Integration.thy + Author: Johannes Hölzl, TU München + Author: Armin Heller, TU München +*) header {*Borel spaces*} diff -r 6db76c88907a -r 66c8281349ec src/HOL/Probability/Caratheodory.thy --- a/src/HOL/Probability/Caratheodory.thy Tue Mar 22 18:53:05 2011 +0100 +++ b/src/HOL/Probability/Caratheodory.thy Tue Mar 22 20:06:10 2011 +0100 @@ -1,9 +1,18 @@ +(* Title: HOL/Probability/Caratheodory.thy + Author: Lawrence C Paulson + Author: Johannes Hölzl, TU München +*) + header {*Caratheodory Extension Theorem*} theory Caratheodory imports Sigma_Algebra Extended_Real_Limits begin +text {* + Originally from the Hurd/Coble measure theory development, translated by Lawrence Paulson. +*} + lemma suminf_extreal_2dimen: fixes f:: "nat \ nat \ extreal" assumes pos: "\p. 0 \ f p" @@ -36,8 +45,6 @@ SUPR_extreal_setsum[symmetric] incseq_setsumI setsum_nonneg) qed -text{*From the Hurd/Coble measure theory development, translated by Lawrence Paulson.*} - subsection {* Measure Spaces *} record 'a measure_space = "'a algebra" + diff -r 6db76c88907a -r 66c8281349ec src/HOL/Probability/Information.thy --- a/src/HOL/Probability/Information.thy Tue Mar 22 18:53:05 2011 +0100 +++ b/src/HOL/Probability/Information.thy Tue Mar 22 20:06:10 2011 +0100 @@ -1,3 +1,10 @@ +(* Title: HOL/Probability/Information.thy + Author: Johannes Hölzl, TU München + Author: Armin Heller, TU München +*) + +header {*Information theory*} + theory Information imports Probability_Space diff -r 6db76c88907a -r 66c8281349ec src/HOL/Probability/Lebesgue_Integration.thy --- a/src/HOL/Probability/Lebesgue_Integration.thy Tue Mar 22 18:53:05 2011 +0100 +++ b/src/HOL/Probability/Lebesgue_Integration.thy Tue Mar 22 20:06:10 2011 +0100 @@ -1,4 +1,7 @@ -(* Author: Armin Heller, Johannes Hoelzl, TU Muenchen *) +(* Title: HOL/Probability/Lebesgue_Integration.thy + Author: Johannes Hölzl, TU München + Author: Armin Heller, TU München +*) header {*Lebesgue Integration*} diff -r 6db76c88907a -r 66c8281349ec src/HOL/Probability/Lebesgue_Measure.thy --- a/src/HOL/Probability/Lebesgue_Measure.thy Tue Mar 22 18:53:05 2011 +0100 +++ b/src/HOL/Probability/Lebesgue_Measure.thy Tue Mar 22 20:06:10 2011 +0100 @@ -1,5 +1,10 @@ -(* Author: Robert Himmelmann, TU Muenchen *) +(* Title: HOL/Probability/Lebesgue_Measure.thy + Author: Johannes Hölzl, TU München + Author: Robert Himmelmann, TU München +*) + header {* Lebsegue measure *} + theory Lebesgue_Measure imports Product_Measure begin diff -r 6db76c88907a -r 66c8281349ec src/HOL/Probability/Measure.thy --- a/src/HOL/Probability/Measure.thy Tue Mar 22 18:53:05 2011 +0100 +++ b/src/HOL/Probability/Measure.thy Tue Mar 22 20:06:10 2011 +0100 @@ -1,4 +1,10 @@ -(* Author: Lawrence C Paulson; Armin Heller, Johannes Hoelzl, TU Muenchen *) +(* Title: HOL/Probability/Measure.thy + Author: Lawrence C Paulson + Author: Johannes Hölzl, TU München + Author: Armin Heller, TU München +*) + +header {* Properties about measure spaces *} theory Measure imports Caratheodory diff -r 6db76c88907a -r 66c8281349ec src/HOL/Probability/Probability_Space.thy --- a/src/HOL/Probability/Probability_Space.thy Tue Mar 22 18:53:05 2011 +0100 +++ b/src/HOL/Probability/Probability_Space.thy Tue Mar 22 20:06:10 2011 +0100 @@ -1,3 +1,10 @@ +(* Title: HOL/Probability/Probability_Space.thy + Author: Johannes Hölzl, TU München + Author: Armin Heller, TU München +*) + +header {*Probability spaces*} + theory Probability_Space imports Lebesgue_Integration Radon_Nikodym Product_Measure begin diff -r 6db76c88907a -r 66c8281349ec src/HOL/Probability/Product_Measure.thy --- a/src/HOL/Probability/Product_Measure.thy Tue Mar 22 18:53:05 2011 +0100 +++ b/src/HOL/Probability/Product_Measure.thy Tue Mar 22 20:06:10 2011 +0100 @@ -1,3 +1,9 @@ +(* Title: HOL/Probability/Product_Measure.thy + Author: Johannes Hölzl, TU München +*) + +header {*Product measure spaces*} + theory Product_Measure imports Lebesgue_Integration begin diff -r 6db76c88907a -r 66c8281349ec src/HOL/Probability/Radon_Nikodym.thy --- a/src/HOL/Probability/Radon_Nikodym.thy Tue Mar 22 18:53:05 2011 +0100 +++ b/src/HOL/Probability/Radon_Nikodym.thy Tue Mar 22 20:06:10 2011 +0100 @@ -1,3 +1,9 @@ +(* Title: HOL/Probability/Radon_Nikodym.thy + Author: Johannes Hölzl, TU München +*) + +header {*Radon-Nikod{\'y}m derivative*} + theory Radon_Nikodym imports Lebesgue_Integration begin diff -r 6db76c88907a -r 66c8281349ec src/HOL/Probability/Sigma_Algebra.thy --- a/src/HOL/Probability/Sigma_Algebra.thy Tue Mar 22 18:53:05 2011 +0100 +++ b/src/HOL/Probability/Sigma_Algebra.thy Tue Mar 22 20:06:10 2011 +0100 @@ -1,5 +1,6 @@ (* Title: HOL/Probability/Sigma_Algebra.thy - Author: Stefan Richter, Markus Wenzel, TU Muenchen + Author: Stefan Richter, Markus Wenzel, TU München + Author: Johannes Hölzl, TU München Plus material from the Hurd/Coble measure theory development, translated by Lawrence Paulson. *)