Theorems · Theorem · number theory
ClassGroup.distinctElems.congr_simp
∀ {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],
ClassGroup.distinctElems bS adm = ClassGroup.distinctElems bS adm- Defined in
- Mathlib.NumberTheory.ClassNumber.Finite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fintypestatement and proof · cited by 7,736
- IsDomainstatement and proof · cited by 2,196
- Module.Basisstatement and proof · cited by 1,477
- Function.Embeddingstatement · cited by 988
- AbsoluteValuestatement and proof · cited by 363
- Infinitestatement and proof · cited by 352
- EuclideanDomainstatement and proof · cited by 124
- AbsoluteValue.IsAdmissiblestatement and proof · cited by 18
- ClassGroup.cardMstatement · cited by 4
- ClassGroup.distinctElemsstatement and proof · cited by 4
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