Theorems · Theorem · measure theory
MeasureTheory.ProbabilityMeasure.eq_of_forall_toMeasure_apply_eq
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] (μ ν : MeasureTheory.ProbabilityMeasure Ω),
(∀ (s : Set Ω), MeasurableSet s → ↑μ s = ↑ν s) → μ = ν- Cited by
- 3 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasurableSetstatement and proof · cited by 3,075
- MeasureTheory.Measure.extproof · cited by 308
- MeasureTheory.ProbabilityMeasurestatement and proof · cited by 127
- MeasureTheory.ProbabilityMeasure.toMeasurestatement and proof · cited by 78
- MeasureTheory.ProbabilityMeasure.toMeasure_injectiveproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.ProbabilityMeasure.eq_of_forall_apply_eqproof · cited by 1
- MeasureTheory.ProbabilityMeasure.tendsto_of_tight_of_separatesPointsproof · cited by 1
- MeasureTheory.ProbabilityMeasure.eq_of_forall_toMeasure_apply_eq_iffproof · cited by 0