Theorems · Theorem · commutative algebra

StandardEtalePresentation.toPresentation_relation

∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S]
  (P : StandardEtalePresentation R S) (a : Fin (Nat.succ 1)),
  P.toPresentation.relation a =
    ![(Polynomial.Bivariate.equivMvPolynomial R) (Polynomial.C P.f),
        (Polynomial.Bivariate.equivMvPolynomial R) (Polynomial.C P.g) * MvPolynomial.X 1 - 1]
      a

Defined in

Mathlib.RingTheory.Etale.StandardEtale

Cited by

1 results in Mathlib

Foundations

Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra