Theorems · Theorem · number theory
NumberField.mixedEmbedding.normAtComplexPlaces_polarSpaceCoord_symm
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] (x : NumberField.mixedEmbedding.polarSpace K),
NumberField.mixedEmbedding.normAtComplexPlaces (↑(NumberField.mixedEmbedding.polarSpaceCoord K).symm x) =
NumberField.mixedEmbedding.normAtComplexPlaces (NumberField.mixedEmbedding.mixedSpaceOfRealSpace x.1)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Realstatement · cited by 25,697
- RingHom.idstatement · cited by 18,349
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
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- ContinuousLinearMapstatement · cited by 5,352
- 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
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.volume_eq_two_pi_pow_mul_integralproof · cited by 1