Theorems · Definition · commutative algebra
StandardEtalePresentation.x
{R : Type u_4} →
{S : Type u_5} →
[inst : CommRing R] → [inst_1 : CommRing S] → [inst_2 : Algebra R S] → StandardEtalePresentation R S → SThe image of X in a StandardEtalePresentation.
- Defined in
- Mathlib.RingTheory.Etale.StandardEtale
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- StandardEtalePresentationstatement and proof · cited by 19
Cited by16
Results whose statement or proof uses this declaration.
- StandardEtalePresentation.equivRingproof · cited by 7
- StandardEtalePresentation.hasMapstatement · cited by 7
- StandardEtalePresentation.toPresentationproof · cited by 5
- StandardEtalePresentation.equivRing_symm_Xstatement and proof · cited by 4
- Algebra.IsStandardEtale.of_isLocalizationAwayproof · cited by 2
- StandardEtalePresentation.aeval_val_equivMvPolynomialstatement and proof · cited by 1
- StandardEtalePresentation.baseChangeproof · cited by 1
- StandardEtalePresentation.equivRing_xstatement · cited by 1
- StandardEtalePresentation.exists_mul_aeval_x_g_pow_eq_aeval_xstatement and proof · cited by 1
- StandardEtalePresentation.mapEquivproof · cited by 1
- StandardEtalePresentation.toPresentation_relationstatement · cited by 1
- StandardEtalePresentation.toPresentation_valstatement · cited by 1