Theorems · Theorem · measure theory
WithLp.volume_preserving_ofLp
∀ (U : Type u_4) (V : Type u_5) [inst : NormedAddCommGroup U] [inst_1 : InnerProductSpace ℝ U] [inst_2 : MeasurableSpace U] [inst_3 : BorelSpace U] [inst_4 : FiniteDimensional ℝ U] [inst_5 : NormedAddCommGroup V] [inst_6 : InnerProductSpace ℝ V] [inst_7 : MeasurableSpace V] [inst_8 : BorelSpace V] [inst_9 : FiniteDimensional ℝ V], MeasureTheory.MeasurePreserving WithLp.ofLp MeasureTheory.volume MeasureTheory.volume
A copy of WithLp.volume_preserving_symm_measurableEquiv_toLp_prod
for the canonical spelling of the equivalence.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 267 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- ENNRealstatement · cited by 9,879
- InnerProductSpacestatement and proof · cited by 3,523
- FiniteDimensionalstatement and proof · cited by 1,854
- BorelSpacestatement and proof · cited by 1,602
- MeasureTheory.MeasureSpace.volumestatement · cited by 1,323
- WithLpstatement · cited by 345
- WithLp.ofLpstatement · cited by 323
- MeasureTheory.MeasurePreservingstatement · cited by 259
- WithLp.volume_preserving_symm_measurableEquiv_toLp_prodproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.measurePreserving_measurableEquivProdproof · cited by 1