Theorems · Theorem · number theory

NumberField.mixedEmbedding.polarCoordReal_apply

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K]
  (p : ({ w // w.IsReal } → ℝ) × ({ w // w.IsComplex } → ℝ × ℝ)),
  ↑(NumberField.mixedEmbedding.polarCoordReal K) p = (p.1, Pi.map (fun i => ↑polarCoord) p.2)

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.PolarCoord
Cited by: 0 results in Mathlib
Foundations: Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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NumberField.InfinitePlace.IsComplexstatement and proof · cited by 272
Pi.mapstatement · cited by 60
NumberField.mixedEmbedding.realMixedSpacestatement · cited by 34
polarCoordstatement · cited by 25
NumberField.mixedEmbedding.polarCoordRealstatement and proof · cited by 13

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