Theorems · Theorem · commutative algebra

Algebra.Presentation.comp_aeval_relation_inl

∀ {R : Type u} {S : Type v} {ι : Type w} {σ : Type t} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
  {ι' : Type u_1} {σ' : Type u_2} {T : Type u_3} [inst_3 : CommRing T] [inst_4 : Algebra S T]
  (Q : Algebra.Presentation S T ι' σ') (P : Algebra.Presentation R S ι σ) [inst_5 : Algebra R T]
  [inst_6 : IsScalarTower R S T] (r : σ'),
  (MvPolynomial.aeval (Sum.elim MvPolynomial.X (⇑MvPolynomial.C ∘ P.val))) ((Q.comp P).relation (Sum.inl r)) =
    Q.relation r

Defined in

Mathlib.RingTheory.Extension.Presentation.Basic

Cited by

0 results in Mathlib

Foundations

Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraCommRingAlgebraAlgebraIsScalarTower