Theorems · Theorem · number theory

NumberField.mixedEmbedding.polarCoordReal_target

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K],
  (NumberField.mixedEmbedding.polarCoordReal K).target =
    Set.univ ×ˢ Set.univ.pi fun i => Set.Ioi 0 ×ˢ Set.Ioo (-Real.pi) Real.pi

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

Setstatement · cited by 53,352
Realstatement · cited by 25,697
Fieldstatement and proof · cited by 7,404
Set.univstatement · cited by 3,945
Real.pistatement · cited by 1,774
SProd.sprodstatement · cited by 1,750
Set.Ioistatement · cited by 1,463
Set.Ioostatement · cited by 1,214
PartialHomeomorph.toPartialEquivstatement and proof · cited by 917
OpenPartialHomeomorph.toPartialHomeomorphstatement and proof · cited by 851
NumberFieldstatement and proof · cited by 653
PartialEquiv.targetstatement and proof · cited by 650

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