Theorems · Theorem · number theory

NumberField.mixedEmbedding.fundamentalCone.expMap_target

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K],
  NumberField.mixedEmbedding.fundamentalCone.expMap.target = Set.univ.pi fun x => Set.Ioi 0

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne
Cited by: 1 results in Mathlib
Foundations: Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cites16

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 and proof · cited by 3,945
Set.Ioistatement and proof · cited by 1,463
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
NumberField.InfinitePlacestatement and proof · cited by 604
Set.pistatement and proof · cited by 405
NumberField.mixedEmbedding.realSpacestatement · cited by 87

Cited by1

Results whose statement or proof uses this declaration.

NumberField.mixedEmbedding.fundamentalCone.expMap_basis_of_neproof · cited by 1