Theorems · Theorem · number theory
NumberField.mixedEmbedding.indexEquiv_apply_isComplex_snd
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] (w : { w // w.IsComplex }),
(NumberField.mixedEmbedding.indexEquiv K) (Sum.inr (w, 1)) = NumberField.ComplexEmbedding.conjugate (↑w).embedding- Cited by
- 0 results in Mathlib
- Foundations
- Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
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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
- RingHomstatement · cited by 10,189
- Equivstatement · cited by 8,337
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.IsRealstatement · cited by 301
- NumberField.InfinitePlace.IsComplexstatement and proof · cited by 272
- NumberField.InfinitePlace.embeddingstatement · cited by 78
- NumberField.ComplexEmbedding.conjugatestatement · cited by 40
- NumberField.mixedEmbedding.indexstatement · cited by 15
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