Theorems · Theorem · commutative algebra
Algebra.Generators.Hom.aeval_val
∀ {R : Type u} {S : Type v} {ι : Type w} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
{P : Algebra.Generators R S ι} {R' : Type u_1} {S' : Type u_2} {ι' : Type u_3} [inst_3 : CommRing R']
[inst_4 : CommRing S'] [inst_5 : Algebra R' S'] {P' : Algebra.Generators R' S' ι'} [inst_6 : Algebra S S']
(self : P.Hom P') (i : ι), (MvPolynomial.aeval P'.val) (self.val i) = (algebraMap S S') (P.val i)- Defined in
- Mathlib.RingTheory.Extension.Generators
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 95 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.
- DFunLike.coestatement · 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
- Algebra.algebraMapstatement · cited by 4,706
- AlgHomstatement · cited by 3,236
- MvPolynomialstatement · cited by 2,140
- MvPolynomial.aevalstatement · cited by 298
- Algebra.Generatorsstatement and proof · cited by 152
- Algebra.Generators.valstatement · cited by 115
- Algebra.Generators.Homstatement and proof · cited by 28
Cited by2
Results whose statement or proof uses this declaration.
- Algebra.Generators.Hom.algebraMap_toAlgHomproof · cited by 6
- Algebra.Generators.H1Cotangent.δAux_toAlgHomproof · cited by 1