Theorems · Theorem · commutative algebra
Algebra.Generators.compLocalizationAwayAlgHom_relation_eq_zero
∀ {R : Type u_1} {S : Type u_2} {T : Type u_3} {ι : Type u_4} [inst : CommRing R] [inst_1 : CommRing S]
[inst_2 : Algebra R S] [inst_3 : CommRing T] [inst_4 : Algebra R T] [inst_5 : Algebra S T]
[inst_6 : IsScalarTower R S T] (g : S) [inst_7 : IsLocalization.Away g T] (P : Algebra.Generators R S ι),
(Algebra.Generators.compLocalizationAwayAlgHom T g P)
((MvPolynomial.rename Sum.inr) (P.σ g) * MvPolynomial.X (Sum.inl ()) - 1) =
0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
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
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- Idealstatement · cited by 4,748
- Algebra.algebraMapproof · cited by 4,706
- IsScalarTowerstatement and proof · cited by 3,896
- AlgHomstatement and proof · cited by 3,236
- HasQuotient.Quotientstatement and proof · cited by 2,301
- MvPolynomialstatement · cited by 2,140
- map_mulproof · cited by 1,137
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.Generators.sq_ker_comp_le_ker_compLocalizationAwayAlgHomproof · cited by 1