equal
deleted
inserted
replaced
453 end |
453 end |
454 |
454 |
455 hide_const (open) PiF |
455 hide_const (open) PiF |
456 hide_const (open) Pi\<^sub>F |
456 hide_const (open) Pi\<^sub>F |
457 hide_const (open) Pi' |
457 hide_const (open) Pi' |
458 hide_const (open) Abs_finmap |
|
459 hide_const (open) Rep_finmap |
|
460 hide_const (open) finmap_of |
458 hide_const (open) finmap_of |
461 hide_const (open) proj |
459 hide_const (open) proj |
462 hide_const (open) domain |
460 hide_const (open) domain |
463 hide_const (open) basis_finmap |
461 hide_const (open) basis_finmap |
464 |
462 |
475 |
473 |
476 locale polish_product_prob_space = |
474 locale polish_product_prob_space = |
477 product_prob_space "\<lambda>_. borel::('a::polish_space) measure" I for I::"'i set" |
475 product_prob_space "\<lambda>_. borel::('a::polish_space) measure" I for I::"'i set" |
478 |
476 |
479 sublocale polish_product_prob_space \<subseteq> P: polish_projective I "\<lambda>J. PiM J (\<lambda>_. borel::('a) measure)" |
477 sublocale polish_product_prob_space \<subseteq> P: polish_projective I "\<lambda>J. PiM J (\<lambda>_. borel::('a) measure)" |
480 proof qed |
478 .. |
481 |
479 |
482 lemma (in polish_product_prob_space) limP_eq_PiM: "lim = PiM I (\<lambda>_. borel)" |
480 lemma (in polish_product_prob_space) limP_eq_PiM: "lim = PiM I (\<lambda>_. borel)" |
483 by (rule PiM_eq) (auto simp: emeasure_PiM emeasure_lim_emb) |
481 by (rule PiM_eq) (auto simp: emeasure_PiM emeasure_lim_emb) |
484 |
482 |
485 end |
483 end |