Theorems · Theorem · commutative algebra
ClassGroup.mk_mk0
∀ {R : Type u_1} (K : Type u_2) [inst : CommRing R] [inst_1 : Field K] [inst_2 : Algebra R K]
[inst_3 : IsFractionRing R K] [inst_4 : IsDomain R] [inst_5 : IsDedekindDomain R] (I : ↥(nonZeroDivisors (Ideal R))),
(ClassGroup.mk K) ((FractionalIdeal.mk0 K) I) = ClassGroup.mk0 I- Defined in
- Mathlib.RingTheory.ClassGroup.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- Fieldstatement and proof · cited by 7,404
- Idealstatement and proof · cited by 4,748
- MonoidHomstatement and proof · cited by 3,629
- Submonoidstatement · cited by 3,086
- Unitsstatement and proof · cited by 2,804
- IsDomainstatement and proof · cited by 2,196
- nonZeroDivisorsstatement and proof · cited by 895
- IsFractionRingstatement and proof · cited by 738
- IsDedekindDomainstatement and proof · cited by 668
Cited by3
Results whose statement or proof uses this declaration.
- ClassGroup.mk0_eq_quotientMkproof · cited by 1
- ClassGroup.mk0_integralRepproof · cited by 1
- ClassGroup.extendedHom_mk0'proof · cited by 0