Theorems · Theorem · field theory
RatFunc.ofFractionRing_eq
∀ {K : Type u} [inst : CommRing K] [inst_1 : IsDomain K],
RatFunc.ofFractionRing =
⇑(IsLocalization.algEquiv (nonZeroDivisors (Polynomial K)) (FractionRing (Polynomial K)) (RatFunc K))- Defined in
- Mathlib.FieldTheory.RatFunc.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Polynomialstatement and proof · cited by 5,681
- IsDomainstatement and proof · cited by 2,196
- AlgEquivstatement · cited by 1,681
- nonZeroDivisorsstatement and proof · cited by 895
- RatFuncstatement and proof · cited by 301
- Localizationproof · cited by 270
- IsLocalization.mk'proof · cited by 218
- FractionRingstatement and proof · cited by 200
- RingEquiv.reflproof · cited by 72
- IsLocalization.algEquivstatement and proof · cited by 45
Cited by1
Results whose statement or proof uses this declaration.
- RatFunc.toFractionRingRingEquiv_symm_eqproof · cited by 0