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Theorems · Theorem · number theory

NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMap

∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] (x : NumberField.mixedEmbedding.realSpace K),
  HasFDerivAt (↑NumberField.mixedEmbedding.fundamentalCone.expMap)
    (NumberField.mixedEmbedding.fundamentalCone.fderiv_expMap x) x
Defined in
Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne
Cited by
1 results in Mathlib
Foundations
Depth 188 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldNumberField
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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NumberField.mixedEmbedding.fundamentalCone.hasFDerivAt_expMapBasis · cited by 1fundamentalCone.hasFDeriv…Real · cited by 25697RealField · cited by 7404FieldOpenPartialHomeomorph.toFun' · cited by 745OpenPartialHomeomorph.toF…ContinuousLinearMap.comp · cited by 709ContinuousLinearMap.compNumberField · cited by 653NumberFieldNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceHasFDerivAt · cited by 350HasFDerivAtContinuousLinearMap.smulRight · cited by 126ContinuousLinearMap.smulR…NumberField.mixedEmbedding.realSpace · cited by 87mixedEmbedding.realSpaceContinuousLinearMap.proj · cited by 77ContinuousLinearMap.projHasFDerivAt.comp · cited by 50HasFDerivAt.compHasDerivAt.hasFDerivAt · cited by 27HasDerivAt.hasFDerivAtNumberField.mixedEmbedding.fundamentalCone.expMap · cited by 23fundamentalCone.expMapNumberField.mixedEmbedding.fundamentalCone.expMap_single · cited by 8fundamentalCone.expMap_si…NumberField.mixedEmbedding.fundamentalCone.deriv_expMap_single · cited by 4fundamentalCone.deriv_exp…fundamentalCone.hasFDerivAt_e…CITED BYCITES

Cites20

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