Theorems · Theorem · measure theory
MeasureTheory.ProbabilityMeasure.eq_of_forall_toMeasure_apply_eq_iff
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] {μ ν : MeasureTheory.ProbabilityMeasure Ω},
μ = ν ↔ ∀ (s : Set Ω), MeasurableSet s → ↑μ s = ↑ν s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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Cites9
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.ProbabilityMeasurestatement and proof · cited by 127
- MeasureTheory.ProbabilityMeasure.toMeasurestatement and proof · cited by 78
- MeasureTheory.ProbabilityMeasure.eq_of_forall_toMeasure_apply_eqproof · cited by 3
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