Theorems · Theorem · commutative algebra
IsRegularLocalRing.of_ringEquiv
∀ {R : Type u_1} [inst : CommRing R] [IsRegularLocalRing R] {R' : Type u_2} [inst_2 : CommRing R'] (e : R ≃+* R'),
IsRegularLocalRing R'- Defined in
- Mathlib.RingTheory.RegularLocalRing.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 95 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.
- CommRingstatement and proof · cited by 17,173
- ENatproof · cited by 4,985
- Idealproof · cited by 4,748
- WithBotproof · cited by 1,498
- RingEquivstatement and proof · cited by 1,147
- IsLocalRingproof · cited by 339
- IsLocalRing.maximalIdealproof · cited by 297
- IsNoetherianRingproof · cited by 268
- ringKrullDimproof · cited by 75
- Submodule.spanFinrankproof · cited by 49
- ringKrullDim_eq_of_ringEquivproof · cited by 9
- isNoetherianRing_of_ringEquivproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- IsRegularLocalRing.of_isRegularRing_of_isLocalRingproof · cited by 0
- IsRegularRing.of_ringEquivproof · cited by 0