Theorems · Definition · number theory
NumberField.Units.equivFinRank
(K : Type u_1) →
[inst : Field K] →
[inst_1 : NumberField K] → Fin (NumberField.Units.rank K) ≃ { w // w ≠ NumberField.Units.dirichletUnitTheorem.w₀ }An equiv between Fin (rank K), used to index the family of units, and {w // w ≠ w₀}
the index of the logSpace.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 299 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Fieldstatement and proof · cited by 7,404
- NumberFieldstatement and proof · cited by 653
- NumberField.InfinitePlacestatement · cited by 604
- NumberField.Units.dirichletUnitTheorem.w₀statement · cited by 72
- NumberField.Units.rankstatement · cited by 46
- Fintype.equivOfCardEqproof · cited by 23
Cited by6
Results whose statement or proof uses this declaration.
- NumberField.Units.basisOfIsMaxRankproof · cited by 9
- NumberField.Units.regOfFamily_eq_detproof · cited by 3
- NumberField.Units.regOfFamily_eq_det'statement and proof · cited by 3
- NumberField.Units.basisOfIsMaxRank_applyproof · cited by 3
- NumberField.IsCMField.regOfFamily_realFunSystemproof · cited by 1
- NumberField.Units.regulator_eq_det'statement and proof · cited by 0