Theorems · Theorem · number theory

NumberField.mixedEmbedding.fundamentalCone.injective_expMapBasis

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K],
  Function.Injective ↑NumberField.mixedEmbedding.fundamentalCone.expMapBasis

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne
Cited by: 3 results in Mathlib
Foundations: Depth 331 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cites12

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
LinearEquiv.symmproof · cited by 1,461
OpenPartialHomeomorph.toFun'statement · cited by 745
NumberFieldstatement and proof · cited by 653
NumberField.InfinitePlacestatement · cited by 604
LinearEquiv.injectiveproof · cited by 162
Module.Basis.equivFunproof · cited by 88
NumberField.mixedEmbedding.realSpacestatement · cited by 87
NumberField.mixedEmbedding.fundamentalCone.expMapBasisstatement · cited by 30
NumberField.mixedEmbedding.fundamentalCone.completeBasisproof · cited by 16
NumberField.mixedEmbedding.fundamentalCone.injective_expMapproof · cited by 1

Cited by3

Results whose statement or proof uses this declaration.

NumberField.mixedEmbedding.fundamentalCone.setLIntegral_expMapBasis_imageproof · cited by 2
NumberField.mixedEmbedding.fundamentalCone.normAtAllPlaces_normLeOne_eq_imageproof · cited by 1
NumberField.mixedEmbedding.fundamentalCone.volume_interior_eq_volume_closureproof · cited by 1