Theorems · Theorem · commutative algebra
StandardEtalePair.hasMap_X
∀ {R : Type u_1} [inst : CommRing R] {P : StandardEtalePair R}, P.HasMap P.X- Defined in
- Mathlib.RingTheory.Etale.StandardEtale
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Ideal.spanproof · cited by 948
- RingHomClass.toRingHomproof · cited by 746
- Polynomial.aevalproof · cited by 615
- Ideal.Quotient.mkproof · cited by 610
- AlgHom.compproof · cited by 501
- Polynomial.aeval_Xproof · cited by 120
- Set.mem_insertproof · cited by 109
- Ideal.Quotient.mkₐproof · cited by 101
Cited by3
Results whose statement or proof uses this declaration.
- StandardEtalePair.hom_extproof · cited by 3
- StandardEtalePair.inv_aeval_X_gstatement · cited by 0
- StandardEtalePair.lift_X_leftstatement and proof · cited by 0