Theorems · Definition · commutative algebra

Algebra.Presentation.compRelationAux

{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] →
                        Algebra.Presentation S T ι' σ' → Algebra.Presentation R S ι σ → σ' → MvPolynomial (ι' ⊕ ι) R

A choice of pre-image of Q.relation r under the canonical map MvPolynomial (ι' ⊕ ι) R →ₐ[R] MvPolynomial ι' S given by the evaluation of P.

Defined in

Mathlib.RingTheory.Extension.Presentation.Basic

Cited by

2 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraCommRingAlgebra