Theorems · Theorem · number theory
NumberField.discr_eq_discr
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] {ι : Type u_2} [inst_2 : Fintype ι] [inst_3 : DecidableEq ι]
(b : Module.Basis ι ℤ (NumberField.RingOfIntegers K)), Algebra.discr ℤ ⇑b = NumberField.discr K- Cited by
- 3 results in Mathlib
- Foundations
- Depth 189 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Module.Basisstatement and proof · cited by 1,477
- NumberFieldstatement and proof · cited by 653
- NumberField.RingOfIntegersstatement and proof · cited by 413
- Module.Basis.reindexproof · cited by 57
- NumberField.discrstatement and proof · cited by 53
- Algebra.discrstatement and proof · cited by 38
- Module.Basis.coe_reindexproof · cited by 27
- NumberField.RingOfIntegers.basisproof · cited by 12
- Module.Basis.indexEquivproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- IsCyclotomicExtension.Rat.discr_prime_powproof · cited by 2
- Rat.numberField_discrproof · cited by 2
- NumberField.discr_eq_discr_of_algEquivproof · cited by 1