Theorems · Theorem · number theory

NumberField.mixedEmbedding.hasFDerivAt_polarCoordReal_symm

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] (x : NumberField.mixedEmbedding.realMixedSpace K),
  HasFDerivAt (↑(NumberField.mixedEmbedding.polarCoordReal K).symm)
    (NumberField.mixedEmbedding.FDerivPolarCoordRealSymm K x) x

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.PolarCoord
Cited by: 2 results in Mathlib
Foundations: Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cites15

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Realstatement · cited by 25,697
Fieldstatement and proof · cited by 7,404
OpenPartialHomeomorph.toFun'statement · cited by 745
NumberFieldstatement and proof · cited by 653
NumberField.InfinitePlacestatement · cited by 604
OpenPartialHomeomorph.symmstatement · cited by 460
HasFDerivAtstatement · cited by 350
NumberField.InfinitePlace.IsRealstatement · cited by 301
NumberField.InfinitePlace.IsComplexstatement · cited by 272
NumberField.mixedEmbedding.realMixedSpacestatement and proof · cited by 34
hasFDerivAt_idproof · cited by 18
NumberField.mixedEmbedding.polarCoordRealstatement · cited by 13

Cited by2

Results whose statement or proof uses this declaration.

NumberField.mixedEmbedding.integral_comp_polarCoordReal_symmproof · cited by 1
NumberField.mixedEmbedding.lintegral_comp_polarCoordReal_symmproof · cited by 1