Theorems · Theorem · commutative algebra
StandardEtalePresentation.hasMap
∀ {R : Type u_4} {S : Type u_5} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
(self : StandardEtalePresentation R S), self.HasMap self.x- Defined in
- Mathlib.RingTheory.Etale.StandardEtale
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- StandardEtalePair.HasMapstatement · cited by 14
- StandardEtalePresentation.Pstatement · cited by 13
- StandardEtalePresentation.xstatement · cited by 12
Cited by9
Results whose statement or proof uses this declaration.
- StandardEtalePresentation.equivRingproof · cited by 7
- StandardEtalePresentation.toPresentationproof · cited by 5
- StandardEtalePresentation.equivRing_symm_Xproof · cited by 4
- Algebra.IsStandardEtale.of_isLocalizationAwayproof · cited by 2
- StandardEtalePresentation.aeval_val_equivMvPolynomialproof · cited by 1
- StandardEtalePresentation.toPresentation_relationstatement · cited by 1
- StandardEtalePresentation.toPresentation_valstatement · cited by 1
- mem_adjoin_map_integralClosure_of_isStandardEtaleproof · cited by 0
- StandardEtalePresentation.lift_bijectivestatement · cited by 0