Theorems · Definition · number theory
NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace
{K : Type u_1} →
[inst : Field K] →
[inst_1 : NumberField K] →
NumberField.mixedEmbedding.realSpace K →ₗ[ℝ] { w // w ≠ NumberField.Units.dirichletUnitTheorem.w₀ } → ℝAn auxiliary map from realSpace K to logSpace K used to prove that completeFamily is
linearly independent, see linearIndependent_completeFamily.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 300 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- Fieldstatement and proof · cited by 7,404
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- Module.finrankproof · cited by 1,770
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.multproof · cited by 107
- NumberField.mixedEmbedding.realSpacestatement and proof · cited by 87
- NumberField.Units.dirichletUnitTheorem.w₀statement and proof · cited by 72
Cited by5
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_applystatement · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_completeFamily_of_nestatement and proof · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_expMap_symmstatement · cited by 1
- NumberField.mixedEmbedding.fundamentalCone.realSpaceToLogSpace_completeFamily_of_eqstatement · cited by 0