Theorems · Theorem · number theory

NumberField.mixedEmbedding.measurableSet_negAt_plusPart

∀ {K : Type u_1} [inst : Field K] (s : Set { w // w.IsReal }) (A : Set (NumberField.mixedEmbedding.mixedSpace K))
  [NumberField K],
  MeasurableSet A → MeasurableSet (⇑(NumberField.mixedEmbedding.negAt s) '' NumberField.mixedEmbedding.plusPart A)

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 170 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
Setstatement and proof · cited by 53,352
Realstatement · cited by 25,697
RingHom.idstatement · cited by 18,349
Fieldstatement and proof · cited by 7,404
Set.imagestatement · cited by 5,609
Complexstatement · cited by 5,565
MeasurableSetstatement and proof · cited by 3,075
ContinuousLinearEquivstatement · cited by 743
NumberFieldstatement and proof · cited by 653
NumberField.InfinitePlacestatement and proof · cited by 604
NumberField.InfinitePlace.IsRealstatement and proof · cited by 301

Cited by1

Results whose statement or proof uses this declaration.

NumberField.mixedEmbedding.volume_eq_two_pow_mul_volume_plusPartproof · cited by 1