Theorems · Definition · commutative algebra
StandardEtalePresentation.equivRing
{R : Type u_1} →
{S : Type u_2} →
[inst : CommRing R] →
[inst_1 : CommRing S] → [inst_2 : Algebra R S] → (P : StandardEtalePresentation R S) → S ≃ₐ[R] P.RingThe isomorphism to the standard etale algebra given a StandardEtalePresentation.
- Defined in
- Mathlib.RingTheory.Etale.StandardEtale
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Algebrastatement and proof · cited by 11,388
- AlgEquivstatement · cited by 1,681
- AlgEquiv.symmproof · cited by 615
- AlgEquiv.ofBijectiveproof · cited by 34
- StandardEtalePair.Ringstatement · cited by 26
- StandardEtalePresentationstatement and proof · cited by 19
- StandardEtalePair.liftproof · cited by 15
- StandardEtalePresentation.Pstatement and proof · cited by 13
- StandardEtalePresentation.xproof · cited by 12
- StandardEtalePresentation.hasMapproof · cited by 7
- StandardEtalePresentation.lift_bijectiveproof · cited by 0
Cited by7
Results whose statement or proof uses this declaration.
- StandardEtalePresentation.equivRing_symm_Xstatement · cited by 4
- Algebra.IsStandardEtale.of_isLocalizationAwayproof · cited by 2
- HasStandardEtaleSurjectionOn.mkproof · cited by 2
- StandardEtalePresentation.equivRing_xstatement and proof · cited by 1
- StandardEtalePresentation.exists_mul_aeval_x_g_pow_eq_aeval_xproof · cited by 1
- mem_adjoin_map_integralClosure_of_isStandardEtaleproof · cited by 0
- StandardEtalePresentation.hom_extproof · cited by 0