Theorems · Theorem · measure theory
MeasurableEquiv.map_measurableEquiv_injective
∀ {α : Type u_1} {β : Type u_2} {x : MeasurableSpace α} [inst : MeasurableSpace β] (e : α ≃ᵐ β),
Function.Injective (MeasureTheory.Measure.map ⇑e)- Defined in
- Mathlib.MeasureTheory.Measure.Map
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 202 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.
Cites7
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- MeasurableEquivstatement and proof · cited by 269
- MeasurableEquiv.symmproof · cited by 155
- MeasurableEquiv.map_symm_mapproof · cited by 3
Cited by12
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsGaussianProcess.isPreBrownianReal_of_covarianceproof · cited by 4
- Measure.ext_of_integral_prod_mul_boundedContinuousFunctionproof · cited by 3
- MeasurableEquiv.map_apply_eq_iff_map_symm_apply_eqproof · cited by 3
- Measure.ext_of_integral_mul_prod_boundedContinuousFunctionproof · cited by 2
- ProbabilityTheory.iIndepFun_uncurryproof · cited by 2
- MeasureTheory.Measure.infinitePi_map_curry_symmproof · cited by 1
- Measure.ext_of_integral_mul_boundedContinuousFunctionproof · cited by 1
- MeasureTheory.charFun_eq_pi_iffproof · cited by 1
- MeasureTheory.charFun_eq_prod_iffproof · cited by 1
- MeasureTheory.Measure.ext_prod₃_iff'proof · cited by 1
- MeasureTheory.charFunDual_eq_pi_iff'proof · cited by 1
- MeasureTheory.charFunDual_eq_prod_iff'proof · cited by 1