Theorems · Theorem · number theory

NumberField.mixedEmbedding.polarCoord_symm_eq

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K],
  ↑(NumberField.mixedEmbedding.polarCoord K).symm =
    ⇑(NumberField.mixedEmbedding.mixedSpaceToRealMixedSpace K).symm ∘
      ↑(NumberField.mixedEmbedding.polarCoordReal K).symm

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.PolarCoord
Cited by: 3 results in Mathlib
Foundations: Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cites17

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

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NumberField.InfinitePlace.IsRealstatement · cited by 301
NumberField.InfinitePlace.IsComplexstatement · cited by 272

Cited by3

Results whose statement or proof uses this declaration.

NumberField.mixedEmbedding.lintegral_comp_polarCoord_symmproof · cited by 1
NumberField.mixedEmbedding.integral_comp_polarCoord_symmproof · cited by 1
NumberField.mixedEmbedding.measurable_polarCoord_symmproof · cited by 1