Theorems · Theorem · measure theory
MeasureTheory.Measure.map_const
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] (μ : MeasureTheory.Measure α)
(c : β), MeasureTheory.Measure.map (fun x => c) μ = μ Set.univ • MeasureTheory.Measure.dirac c- Defined in
- Mathlib.MeasureTheory.Measure.Dirac
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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 and proof · cited by 9,879
- Set.univstatement and proof · cited by 3,945
- mul_oneproof · cited by 3,885
- MeasurableSetproof · cited by 3,075
- MulZeroClass.mul_zeroproof · cited by 2,091
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- Set.indicatorproof · cited by 723
- MeasureTheory.Measure.extproof · cited by 308
Cited by6
Results whose statement or proof uses this declaration.
- ProbabilityTheory.gaussianReal_map_const_mulproof · cited by 4
- ProbabilityTheory.iIndepFun.charFunDual_map_finsetSum_eq_prodproof · cited by 4
- MeasureTheory.Measure.bind_constproof · cited by 3
- ProbabilityTheory.hasLaw_smul_dirac_of_ae_eqproof · cited by 2
- ProbabilityTheory.multivariateGaussian_of_not_posSemidefproof · cited by 0
- ProbabilityTheory.tendstoInDistribution_inv_sqrt_mul_sum_subproof · cited by 0