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src/HOL/Probability/ex/Koepf_Duermuth_Countermeasure.thy
changeset 73297 beaff25452d2
parent 70347 e5cd5471c18a
child 73392 24f0df084aad
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73296:2ac92ba88d6b 73297:beaff25452d2 
     1 (* Author: Johannes Hölzl, TU München *)
 
     1 (* Author: Johannes Hölzl, TU München *)
 
     2 
     2 
     3 section \<open>Formalization of a Countermeasure by Koepf \& Duermuth 2009\<close>
 
     3 section \<open>Formalization of a Countermeasure by Koepf \& Duermuth 2009\<close>
 
     4 
     4 
     5 theory Koepf_Duermuth_Countermeasure
 
     5 theory Koepf_Duermuth_Countermeasure
 
     6   imports "HOL-Probability.Information" "HOL-Library.Permutation"
 
     6   imports "HOL-Probability.Information" "HOL-Library.List_Permutation"
 
     7 begin
 
     7 begin
 
     8 
     8 
     9 lemma SIGMA_image_vimage:
 
     9 lemma SIGMA_image_vimage:
 
    10   "snd ` (SIGMA x:f`X. f -` {x} \<inter> X) = X"
 
    10   "snd ` (SIGMA x:f`X. f -` {x} \<inter> X) = X"
 
    11   by (auto simp: image_iff)
 
    11   by (auto simp: image_iff)
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