Theorems · Theorem · number theory
NumberField.mixedEmbedding.normAtPlace_polarCoord_symm_of_isComplex
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] (x : NumberField.mixedEmbedding.realMixedSpace K)
{w : NumberField.InfinitePlace K} (hw : w.IsComplex),
(NumberField.mixedEmbedding.normAtPlace w) (↑(NumberField.mixedEmbedding.polarCoord K).symm x) = ‖(x.2 ⟨w, hw⟩).1‖- Cited by
- 0 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
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- DFunLike.coestatement and proof · cited by 62,936
- Realstatement · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- Norm.normstatement and proof · cited by 5,413
- mul_oneproof · cited by 3,885
- absproof · cited by 1,814
- Complex.ofRealproof · cited by 1,654
- Complex.Iproof · cited by 866
- OpenPartialHomeomorph.toFun'statement and proof · cited by 745
- MonoidWithZeroHomstatement · cited by 704
- NumberFieldstatement and proof · cited by 653
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