Theorems · Theorem · commutative algebra
Algebra.Generators.toComp_val
∀ {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) (i : ι),
(Q.toComp P).val i = MvPolynomial.X (Sum.inr i)- 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.
Cites9
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
- IsScalarTowerstatement and proof · cited by 3,896
- MvPolynomialstatement · cited by 2,140
- MvPolynomial.Xstatement · cited by 552
- Algebra.Generatorsstatement and proof · cited by 152
- Algebra.Generators.compstatement · cited by 52
- Algebra.Generators.toCompstatement and proof · cited by 24
- Algebra.Generators.Hom.valstatement and proof · cited by 23
Cited by3
Results whose statement or proof uses this declaration.
- Algebra.Generators.CotangentSpace.compEquiv_symm_inrproof · cited by 4
- Algebra.Generators.map_toComp_kerproof · cited by 3
- Algebra.Generators.toComp_toAlgHom_monomialproof · cited by 1