Theorems · Theorem · commutative algebra
StandardEtalePresentation.lift_bijective
∀ {R : Type u_4} {S : Type u_5} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
(self : StandardEtalePresentation R S), Function.Bijective ⇑(self.lift self.x ⋯)- Defined in
- Mathlib.RingTheory.Etale.StandardEtale
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- AlgHomstatement · cited by 3,236
- Function.Bijectivestatement · cited by 863
- StandardEtalePair.Ringstatement · cited by 26
- StandardEtalePresentationstatement and proof · cited by 19
- StandardEtalePair.liftstatement · cited by 15
- StandardEtalePresentation.Pstatement · cited by 13
- StandardEtalePresentation.xstatement · cited by 12
- StandardEtalePresentation.hasMapstatement · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- StandardEtalePresentation.equivRingproof · cited by 7