src/HOL/Probability/Lebesgue_Measure.thy
2011-01-24 hoelzl 2011-01-24 use pre-image measure, instead of image
2011-01-18 hoelzl 2011-01-18 Gauge measure removed
2011-01-14 hoelzl 2011-01-14 integral on lebesgue measure is extension of integral on borel measure
2010-12-08 hoelzl 2010-12-08 use SUPR_ and INFI_apply instead of SUPR_, INFI_fun_expand
2010-12-08 hoelzl 2010-12-08 cleanup bijectivity btw. product spaces and pairs
2010-12-03 hoelzl 2010-12-03 it is known as the extended reals, not the infinite reals
2010-12-02 hoelzl 2010-12-02 Moved theorems to appropriate place.
2010-12-01 hoelzl 2010-12-01 Generalized simple_functionD and less_SUP_iff. Moved theorems to appropriate places.
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.
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.