Theorems · Theorem · measure theory
MeasureTheory.Measure.ext
∀ {α : Type u_1} [inst : MeasurableSpace α] {μ₁ μ₂ : MeasureTheory.Measure α},
(∀ (s : Set α), MeasurableSet s → μ₁ s = μ₂ s) → μ₁ = μ₂- Cited by
- 308 results in Mathlib
- Foundations
- Depth 170 from the axioms, rests on 4,645 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasurableSetstatement and proof · cited by 3,075
- MeasureTheory.OuterMeasureproof · cited by 287
- MeasureTheory.Measure.toOuterMeasureproof · cited by 75
- MeasureTheory.Measure.trimmedproof · cited by 6
- MeasureTheory.Measure.toOuterMeasure_injectiveproof · cited by 2
- MeasureTheory.OuterMeasure.trim_congrproof · cited by 1
Cited by308
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.restrict_univproof · cited by 76
- MeasureTheory.Measure.map_mapproof · cited by 67
- MeasureTheory.Measure.map_idproof · cited by 29
- AEMeasurable.map_map_of_aemeasurableproof · cited by 28
- MeasureTheory.withDensity_congr_aeproof · cited by 19
- MeasureTheory.measurePreserving_vaddproof · cited by 18
- MeasureTheory.measurePreserving_smulproof · cited by 17
- MeasureTheory.restrict_withDensityproof · cited by 15
- ProbabilityTheory.Kernel.prod_applyproof · cited by 15
- MeasureTheory.Measure.prod_swapproof · cited by 14
- MeasureTheory.FiniteMeasure.eq_of_forall_toMeasure_apply_eqproof · cited by 13
- MeasureTheory.Measure.restrict_singletonproof · cited by 12
Showing the 200 most cited of 308.