src/HOL/Probability/Product_Measure.thy
 2011-01-24 hoelzl 2011-01-24 use pre-image measure, instead of image file | diff | annotate 2011-01-19 hoelzl 2011-01-19 tuned proof file | diff | annotate 2011-01-14 hoelzl 2011-01-14 introduced integral syntax file | diff | annotate 2010-12-08 hoelzl 2010-12-08 use SUPR_ and INFI_apply instead of SUPR_, INFI_fun_expand file | diff | annotate 2010-12-08 hoelzl 2010-12-08 integral over setprod file | diff | annotate 2010-12-08 hoelzl 2010-12-08 cleanup bijectivity btw. product spaces and pairs file | diff | annotate 2010-12-06 hoelzl 2010-12-06 folding on arbitrary Lebesgue integrable functions file | diff | annotate 2010-12-03 hoelzl 2010-12-03 it is known as the extended reals, not the infinite reals file | diff | annotate 2010-12-02 hoelzl 2010-12-02 Shorter definition for positive_integral. file | diff | annotate 2010-12-02 hoelzl 2010-12-02 Move SUP_commute, SUP_less_iff to HOL image; Cleanup generic complete_lattice lemmas in Positive_Infinite_Real; Cleanup lemma positive_integral_alt; file | diff | annotate 2010-12-01 hoelzl 2010-12-01 Generalized simple_functionD and less_SUP_iff. Moved theorems to appropriate places. file | diff | annotate 2010-12-01 hoelzl 2010-12-01 Support product spaces on sigma finite measures. Introduce the almost everywhere quantifier. Introduce 'morphism' theorems for most constants. Prove uniqueness of measures on cut stable generators. Prove uniqueness of the Radon-Nikodym derivative. Removed misleading suffix from borel_space and lebesgue_space. Use product spaces to introduce Fubini on the Lebesgue integral. Combine Euclidean_Lebesgue and Lebesgue_Measure. Generalize theorems about mutual information and entropy to arbitrary probability spaces. Remove simproc mult_log as it does not work with interpretations. Introduce completion of measure spaces. Change type of sigma. Introduce dynkin systems. file | diff | annotate 2010-09-02 hoelzl 2010-09-02 Corrected definition and hence removed sorry. file | diff | annotate 2010-09-02 hoelzl 2010-09-02 Moved lemmas to appropriate locations file | diff | annotate 2010-09-02 hoelzl 2010-09-02 merged file | diff | annotate 2010-09-02 hellerar 2010-09-02 merged file | diff | annotate 2010-09-02 hellerar 2010-09-02 measure unique file | diff | annotate 2010-09-02 hoelzl 2010-09-02 move lemmas to correct theory files file | diff | annotate 2010-08-27 hoelzl 2010-08-27 Measurable on product space is equiv. to measurable components file | diff | annotate 2010-08-26 hoelzl 2010-08-26 changed definition of dynkin; replaces proofs by metis calles file | diff | annotate 2010-08-26 hellerar 2010-08-26 dynkin system file | diff | annotate 2010-08-24 hoelzl 2010-08-24 moved generic lemmas in Probability to HOL file | diff | annotate 2010-08-23 hoelzl 2010-08-23 Rewrite the Probability theory. Introduced pinfreal as real numbers with infinity. Use pinfreal as value for measures. Introduces Lebesgue Measure based on the integral in Multivariate Analysis. Proved Radon Nikodym for arbitrary sigma finite measure spaces. file | diff | annotate 2010-05-04 hoelzl 2010-05-04 Corrected imports; better approximation of dependencies. file | diff | annotate 2010-03-26 hoelzl 2010-03-26 Added finite measure space. file | diff | annotate 2010-03-16 hoelzl 2010-03-16 Added product measure space file | diff | annotate