Theorems · Theorem · measure theory
MeasureTheory.diracProba_comp_diracProbaEquiv_symm_eq_val
∀ {X : Type u_1} [inst : MeasurableSpace X] [inst_1 : TopologicalSpace X] [inst_2 : OpensMeasurableSpace X]
[inst_3 : T0Space X], MeasureTheory.diracProba ∘ ⇑MeasureTheory.diracProbaEquiv.symm = fun μ => ↑μThe composition of diracProbaEquiv.symm and diracProba is the subtype inclusion.
- Defined in
- Mathlib.MeasureTheory.Measure.DiracProba
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- Equivstatement · cited by 8,337
- Set.Elemstatement and proof · cited by 7,166
- Set.rangestatement and proof · cited by 4,705
- Equiv.symmstatement · cited by 3,681
- OpensMeasurableSpacestatement and proof · cited by 636
- T0Spacestatement and proof · cited by 179
- MeasureTheory.ProbabilityMeasurestatement · cited by 127
- MeasureTheory.diracProbastatement and proof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.tendsto_diracProbaEquivSymm_iff_tendstoproof · cited by 1