Theorems · Theorem · number theory
ClassGroup.mkMMem_surjective
∀ {R : Type u_1} {S : Type u_2} [inst : EuclideanDomain R] [inst_1 : CommRing S] [inst_2 : IsDomain S]
[inst_3 : Algebra R S] {abv : AbsoluteValue R ℤ} {ι : Type u_5} [inst_4 : DecidableEq ι] [inst_5 : Fintype ι]
(bS : Module.Basis ι R S) (adm : abv.IsAdmissible) [inst_6 : Infinite R] [inst_7 : DecidableEq R]
[inst_8 : IsDedekindDomain S] [Algebra.IsAlgebraic R S], Function.Surjective (ClassGroup.mkMMem bS adm)- Defined in
- Mathlib.NumberTheory.ClassNumber.Finite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Idealstatement and proof · cited by 4,748
- Algebra.algebraMapstatement and proof · cited by 4,706
- Finset.prodstatement and proof · cited by 2,356
- IsDomainstatement and proof · cited by 2,196
- Module.Basisstatement and proof · cited by 1,477
- nonZeroDivisorsproof · cited by 895
- IsDedekindDomainstatement and proof · cited by 668
Cited by1
Results whose statement or proof uses this declaration.
- ClassGroup.fintypeOfAdmissibleOfAlgebraicproof · cited by 0