Theorems · Theorem · number theory
NumberField.mixedEmbedding.logMap_apply_of_norm_eq_one
∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] {x : NumberField.mixedEmbedding.mixedSpace K},
NumberField.mixedEmbedding.norm x = 1 →
∀ (w : { w // w ≠ NumberField.Units.dirichletUnitTheorem.w₀ }),
NumberField.mixedEmbedding.logMap x w = ↑(↑w).mult * Real.log ((NumberField.mixedEmbedding.normAtPlace ↑w) x)- Cited by
- 0 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.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Realstatement and proof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Complexstatement · cited by 5,565
- Module.finrankproof · cited by 1,770
- MulZeroClass.zero_mulproof · cited by 1,625
- Real.logstatement and proof · cited by 939
- sub_zeroproof · cited by 938
- MonoidWithZeroHomstatement · cited by 704
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.IsRealstatement · cited by 301
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.