Theorems · Theorem · commutative algebra
StandardEtalePair.lift_X
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
(P : StandardEtalePair R) (x : S) (h : P.HasMap x), (P.lift x h) P.X = x- Defined in
- Mathlib.RingTheory.Etale.StandardEtale
- Cited by
- 3 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.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Algebra.algebraMapproof · cited by 4,706
- AlgHomstatement · cited by 3,236
- Units.valproof · cited by 1,966
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Polynomial.evalproof · cited by 796
- IsUnit.unitproof · cited by 252
- Polynomial.eval_Xproof · cited by 172
- Polynomial.map_Xproof · cited by 122
Cited by3
Results whose statement or proof uses this declaration.
- StandardEtalePresentation.equivRing_symm_Xproof · cited by 4
- StandardEtalePresentation.aeval_val_equivMvPolynomialproof · cited by 1
- StandardEtalePair.lift_X_leftproof · cited by 0