Theorems · Theorem · number theory
NumberField.mixedEmbedding.polarSpaceCoord_apply
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] (a : NumberField.mixedEmbedding.mixedSpace K),
↑(NumberField.mixedEmbedding.polarSpaceCoord K) a =
(NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace K) (a.1, Pi.map (fun i => ↑Complex.polarCoord) a.2)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
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Cites17
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
- OpenPartialHomeomorph.toFun'statement and proof · cited by 745
- Homeomorphstatement · cited by 725
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement · cited by 604
- NumberField.InfinitePlace.IsRealstatement · cited by 301
- NumberField.InfinitePlace.IsComplexstatement · cited by 272
- NumberField.mixedEmbedding.mixedSpacestatement and proof · cited by 239
- Pi.mapstatement · cited by 60
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