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Theorems · Theorem · number theory

NumberField.mixedEmbedding.det_fderivPolarCoordRealSymm

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] (x : NumberField.mixedEmbedding.realMixedSpace K),
  (NumberField.mixedEmbedding.FDerivPolarCoordRealSymm K x).det = ∏ w, (x.2 w).1
Defined in
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.PolarCoord
Cited by
2 results in Mathlib
Foundations
Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldNumberField
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Around this declaration

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NumberField.mixedEmbedding.integral_comp_polarCoordReal_symm · cited by 1mixedEmbedding.integral_c…NumberField.mixedEmbedding.lintegral_comp_polarCoordReal_symm · cited by 1mixedEmbedding.lintegral_…DFunLike.coe · cited by 62936DFunLike.coeReal · cited by 25697RealRingHom.id · cited by 18349RingHom.idLinearMap · cited by 10215LinearMapField · cited by 7404FieldFinset.univ · cited by 3473Finset.univone_mul · cited by 2841one_mulFinset.prod · cited by 2356Finset.prodNumberField · cited by 653NumberFieldLinearMap.id · cited by 625LinearMap.idNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceContinuousLinearMap.toLinearMap · cited by 528ContinuousLinearMap.toLin…NumberField.InfinitePlace.IsReal · cited by 301InfinitePlace.IsRealNumberField.InfinitePlace.IsComplex · cited by 272InfinitePlace.IsComplexLinearMap.det · cited by 127LinearMap.detmixedEmbedding.det_fderivPola…CITED BYCITES

Cites23

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Cited by2

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