Theorems · Theorem · commutative algebra
StandardEtalePresentation.equivRing_symm_X
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
(P : StandardEtalePresentation R S), P.equivRing.symm P.X = P.x- Defined in
- Mathlib.RingTheory.Etale.StandardEtale
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- AlgEquivstatement · cited by 1,681
- AlgEquiv.symmstatement · cited by 615
- StandardEtalePair.Ringstatement · cited by 26
- StandardEtalePresentationstatement and proof · cited by 19
- StandardEtalePair.Xstatement · cited by 14
- StandardEtalePresentation.Pstatement and proof · cited by 13
- StandardEtalePresentation.xstatement and proof · cited by 12
- StandardEtalePresentation.equivRingstatement · cited by 7
- StandardEtalePresentation.hasMapproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- Algebra.IsStandardEtale.of_isLocalizationAwayproof · cited by 2
- StandardEtalePresentation.equivRing_xproof · cited by 1
- StandardEtalePresentation.hom_extproof · cited by 0
- mem_adjoin_map_integralClosure_of_isStandardEtaleproof · cited by 0