Theorems · Theorem · number theory
NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace_apply
∀ (K : Type u_1) [inst : Field K] (x : NumberField.mixedEmbedding.realMixedSpace K),
(NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpace K) x =
(fun w => if hw : w.IsReal then x.1 ⟨w, hw⟩ else (x.2 ⟨w, ⋯⟩).1, fun w => (x.2 w).2)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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Cites11
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
- Homeomorphstatement · cited by 725
- NumberField.InfinitePlacestatement · cited by 604
- NumberField.InfinitePlace.IsRealstatement · cited by 301
- NumberField.InfinitePlace.IsComplexstatement · cited by 272
- NumberField.mixedEmbedding.realMixedSpacestatement and proof · cited by 34
- NumberField.InfinitePlace.not_isReal_iff_isComplexstatement · cited by 25
- NumberField.mixedEmbedding.polarSpacestatement · cited by 17
- NumberField.mixedEmbedding.homeoRealMixedSpacePolarSpacestatement · cited by 11
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