equal
deleted
inserted
replaced
1277 proof - |
1277 proof - |
1278 have "negligible ((+) (-a) ` S)" |
1278 have "negligible ((+) (-a) ` S)" |
1279 proof (subst negligible_on_intervals, intro allI) |
1279 proof (subst negligible_on_intervals, intro allI) |
1280 fix u v |
1280 fix u v |
1281 show "negligible ((+) (- a) ` S \<inter> cbox u v)" |
1281 show "negligible ((+) (- a) ` S \<inter> cbox u v)" |
1282 using \<open>closed S\<close> eq1 by (auto simp add: negligible_iff_null_sets field_simps |
1282 using \<open>closed S\<close> eq1 by (auto simp add: negligible_iff_null_sets algebra_simps |
1283 intro!: closed_translation_subtract starlike_negligible_compact cong: image_cong_simp) |
1283 intro!: closed_translation_subtract starlike_negligible_compact cong: image_cong_simp) |
|
1284 (metis add_diff_eq diff_add_cancel scale_right_diff_distrib) |
1284 qed |
1285 qed |
1285 then show ?thesis |
1286 then show ?thesis |
1286 by (rule negligible_translation_rev) |
1287 by (rule negligible_translation_rev) |
1287 qed |
1288 qed |
1288 |
1289 |