Theorems · Theorem · commutative algebra
FractionalIdeal.canonicalEquiv_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] (K' : Type u_3) [inst_6 : Field K']
[inst_7 : Algebra R K'] [inst_8 : IsFractionRing R K'] (I : ↥(nonZeroDivisors (Ideal R))),
(FractionalIdeal.canonicalEquiv (nonZeroDivisors R) K K') ↑((FractionalIdeal.mk0 K) I) = ↑((FractionalIdeal.mk0 K') I)- Defined in
- Mathlib.RingTheory.ClassGroup.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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 · cited by 3,629
- Submonoidstatement · cited by 3,086
- Unitsstatement · cited by 2,804
- IsDomainstatement and proof · cited by 2,196
- Units.valstatement · cited by 1,966
- RingEquivstatement · cited by 1,147
- nonZeroDivisorsstatement and proof · cited by 895
Cited by1
Results whose statement or proof uses this declaration.
- FractionalIdeal.map_canonicalEquiv_mk0proof · cited by 1