Theorems · Theorem · number theory

NumberField.mixedEmbedding.volume_preserving_mixedSpaceToRealMixedSpace_symm

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K],
  MeasureTheory.MeasurePreserving (⇑(NumberField.mixedEmbedding.mixedSpaceToRealMixedSpace K).symm) MeasureTheory.volume
    MeasureTheory.volume

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.PolarCoord
Cited by: 2 results in Mathlib
Foundations: Depth 266 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cites21

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coestatement · cited by 62,936
Realstatement · cited by 25,697
Fieldstatement and proof · cited by 7,404
Complexstatement · cited by 5,565
MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
Homeomorphstatement · cited by 725
NumberFieldstatement and proof · cited by 653
NumberField.InfinitePlacestatement and proof · cited by 604
Homeomorph.symmstatement · cited by 365
NumberField.InfinitePlace.IsRealstatement · cited by 301
NumberField.InfinitePlace.IsComplexstatement and proof · cited by 272
MeasureTheory.MeasurePreservingstatement · cited by 259

Cited by2

Results whose statement or proof uses this declaration.

NumberField.mixedEmbedding.lintegral_comp_polarCoord_symmproof · cited by 1
NumberField.mixedEmbedding.integral_comp_polarCoord_symmproof · cited by 1