Theorems · Definition · number theory
NumberField.Units.unitLattice
(K : Type u_1) → [inst : Field K] → [inst_1 : NumberField K] → Submodule ℤ (NumberField.Units.dirichletUnitTheorem.logSpace K)
The lattice formed by the image of the logarithmic embedding.
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 301 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Top.topproof · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- Submodulestatement · cited by 7,192
- NumberFieldstatement and proof · cited by 653
- Submodule.mapproof · cited by 614
- NumberField.InfinitePlacestatement · cited by 604
- NumberField.Units.dirichletUnitTheorem.w₀statement · cited by 72
- NumberField.Units.dirichletUnitTheorem.logSpacestatement · cited by 46
- NumberField.Units.logEmbeddingproof · cited by 25
- AddMonoidHom.toIntLinearMapproof · cited by 17
Cited by25
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.fundamentalConeproof · cited by 22
- NumberField.Units.regulatorproof · cited by 19
- NumberField.Units.basisUnitLatticestatement · cited by 16
- NumberField.Units.regulator_eq_regOfFamily_fundSystemproof · cited by 7
- NumberField.Units.isMaxRank_fundSystemproof · cited by 4
- NumberField.Units.logEmbeddingEquivstatement and proof · cited by 4
- NumberField.Units.logEmbedding_fundSystemstatement and proof · cited by 4
- NumberField.Units.unitLattice_rankstatement and proof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.torsion_smul_mem_of_memproof · cited by 2
- NumberField.Units.isMaxRank_iff_closure_finiteIndexproof · cited by 1
- NumberField.Units.logEmbeddingEquiv_applystatement · cited by 1