Theorems · Theorem · number theory
NumberField.mixedEmbedding.volume_preserving_negAt
∀ {K : Type u_1} [inst : Field K] {s : Set { w // w.IsReal }} [inst_1 : NumberField K],
MeasureTheory.MeasurePreserving (⇑(NumberField.mixedEmbedding.negAt s)) MeasureTheory.volume MeasureTheory.volumenegAt preserves the volume .
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 280 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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 and proof · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- MeasureTheory.MeasureSpace.volumestatement and proof · cited by 1,323
- LinearEquiv.toLinearMapproof · cited by 1,171
- ContinuousLinearEquivstatement and proof · 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_negAt_plusPartproof · cited by 1