Theorems · Theorem · commutative algebra
Algebra.Generators.toComp_toAlgHom
∀ {R : Type u} {S : Type v} {ι : Type w} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
{ι' : Type u_3} {T : Type u_7} [inst_3 : CommRing T] [inst_4 : Algebra R T] [inst_5 : Algebra S T]
[inst_6 : IsScalarTower R S T] (Q : Algebra.Generators S T ι') (P : Algebra.Generators R S ι),
(Q.toComp P).toAlgHom = MvPolynomial.rename Sum.inr- Defined in
- Mathlib.RingTheory.Extension.Generators
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Finsuppstatement · cited by 5,255
- IsScalarTowerstatement and proof · cited by 3,896
- AlgHomstatement and proof · cited by 3,236
- MvPolynomialproof · cited by 2,140
- MvPolynomial.renamestatement · cited by 168
- Algebra.Generatorsstatement and proof · cited by 152
- Algebra.Generators.Ringstatement · cited by 133
- Algebra.Generators.compstatement · cited by 52
- Algebra.Generators.Hom.toAlgHomstatement and proof · cited by 30
- Algebra.Generators.toCompstatement and proof · cited by 24
Cited by3
Results whose statement or proof uses this declaration.
- Algebra.Generators.compLocalizationAwayAlgHom_toAlgHom_toCompproof · cited by 3
- Algebra.Generators.compLocalizationAwayAlgHom_relation_eq_zeroproof · cited by 1
- Algebra.Generators.H1Cotangent.liftBaseChange_range_leproof · cited by 1