Theorems · Inductive type · measure theory
MeasurableSpace.CountablySeparated
(α : Type u_3) → [MeasurableSpace α] → Prop
We say that a measurable space is countably separated if there is a countable sequence of measurable sets separating points.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
Cited by22
Results whose statement or proof uses this declaration.
- Measurable.map_measurableSpace_eqstatement and proof · cited by 3
- Measurable.measurableSet_preimage_iff_of_surjectivestatement and proof · cited by 3
- Measurable.measurableSet_preimage_iff_preimage_valstatement and proof · cited by 2
- MeasurableSpace.exists_countablyGenerated_le_of_countablySeparatedstatement and proof · cited by 2
- QuasiErgodic.ae_eq_const_of_ae_eq_comp_of_ae_range₀statement and proof · cited by 2
- exists_opensMeasurableSpace_of_countablySeparatedstatement and proof · cited by 2
- MeasurableSpace.measurable_injection_nat_bool_of_countablySeparatedstatement and proof · cited by 1
- MeasurableSpace.countablySeparated_defstatement and proof · cited by 1
- MeasurableSpace.CountablySeparated.casesOnstatement and proof · cited by 1
- MeasurableSpace.CountablySeparated.countably_separatedstatement and proof · cited by 1
- MeasurableSet.image_of_measurable_injOnstatement and proof · cited by 1
- QuasiErgodic.ae_eq_const_of_ae_eq_comp₀statement and proof · cited by 1