Theorems · Theorem · number theory
NumberField.IsCMField.infinitePlace_complexConj
∀ (K : Type u_1) [inst : Field K] [inst_1 : CharZero K] [inst_2 : NumberField.IsCMField K] [inst_3 : Algebra.IsIntegral ℚ K] (w : NumberField.InfinitePlace K) (x : K), w ((NumberField.IsCMField.complexConj K) x) = w x
- Defined in
- Mathlib.NumberTheory.NumberField.CMField
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 305 from the axioms · uses propext, Classical.choice, Quot.sound
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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 and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Complexproof · cited by 5,565
- Norm.normproof · cited by 5,413
- AlgEquivstatement · cited by 1,681
- CharZerostatement and proof · cited by 932
- NumberField.InfinitePlacestatement and proof · cited by 604
- Subfieldstatement · cited by 303
- Algebra.IsIntegralstatement and proof · cited by 224
- NumberField.InfinitePlace.embeddingproof · cited by 78
- NumberField.IsCMFieldstatement and proof · cited by 45
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