Theorems · Theorem · number theory
NumberField.mixedEmbedding.mixedSpaceToRealMixedSpace_apply
∀ (K : Type u_1) [inst : Field K] (x : NumberField.mixedEmbedding.mixedSpace K), (NumberField.mixedEmbedding.mixedSpaceToRealMixedSpace K) x = (x.1, fun w => Complex.equivRealProd (x.2 w))
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- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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Cites13
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
- Equivstatement · cited by 8,337
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- Homeomorphstatement · cited by 725
- 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
- NumberField.mixedEmbedding.realMixedSpacestatement · cited by 34
- Complex.equivRealProdstatement · cited by 15
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