Theorems · Theorem · commutative algebra
ClassGroup.mk0_integralRep
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDomain R] [inst_2 : IsDedekindDomain R]
(I : (FractionalIdeal (nonZeroDivisors R) (FractionRing R))ˣ),
ClassGroup.mk0 ⟨ClassGroup.integralRep ↑I, ⋯⟩ = (ClassGroup.mk (FractionRing R)) I- Defined in
- Mathlib.RingTheory.ClassGroup.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
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
- Idealstatement · cited by 4,748
- Algebra.algebraMapproof · cited by 4,706
- MonoidHomstatement · cited by 3,629
- Submonoidstatement · cited by 3,086
- Unitsstatement and proof · cited by 2,804
- mul_commproof · cited by 2,262
- IsDomainstatement and proof · cited by 2,196
- Units.valstatement and proof · cited by 1,966
- nonZeroDivisorsstatement and proof · cited by 895
- IsDedekindDomainstatement and proof · cited by 668
Cited by1
Results whose statement or proof uses this declaration.
- ClassGroup.mk0_surjectiveproof · cited by 5