equal
deleted
inserted
replaced
769 apply (auto simp: space_subprob_algebra |
769 apply (auto simp: space_subprob_algebra |
770 dest!: sets_eq_imp_space_eq subprob_space.emeasure_space_le_1) |
770 dest!: sets_eq_imp_space_eq subprob_space.emeasure_space_le_1) |
771 done |
771 done |
772 with M show "subprob_space (join M)" |
772 with M show "subprob_space (join M)" |
773 by (intro subprob_spaceI) |
773 by (intro subprob_spaceI) |
774 (auto simp: emeasure_join space_subprob_algebra M assms dest: subprob_space.emeasure_space_le_1) |
774 (auto simp: emeasure_join space_subprob_algebra M dest: subprob_space.emeasure_space_le_1) |
775 next |
775 next |
776 assume "\<not>(space N \<noteq> {})" |
776 assume "\<not>(space N \<noteq> {})" |
777 thus ?thesis by (simp add: measurable_empty_iff space_subprob_algebra_empty_iff) |
777 thus ?thesis by (simp add: measurable_empty_iff space_subprob_algebra_empty_iff) |
778 qed (auto simp: space_subprob_algebra) |
778 qed (auto simp: space_subprob_algebra) |
779 |
779 |