Theorems · Theorem · commutative algebra

Algebra.PreSubmersivePresentation.ofHasCoeffs_relation

∀ {R : Type u_1} {S : Type u_2} {ι : Type u_3} {σ : Type u_4} [inst : CommRing R] [inst_1 : CommRing S]
  [inst_2 : Algebra R S] (P : Algebra.PreSubmersivePresentation R S ι σ) (R₀ : Type u_5) [inst_3 : CommRing R₀]
  [inst_4 : Algebra R₀ R] [inst_5 : Algebra R₀ S] [inst_6 : IsScalarTower R₀ R S] [inst_7 : P.HasCoeffs R₀] (r : σ),
  (P.ofHasCoeffs R₀).relation r = Algebra.Presentation.relationOfHasCoeffs R₀ r

Defined in

Mathlib.RingTheory.Extension.Presentation.Core

Cited by

1 results in Mathlib

Foundations

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

Assumes

CommRingCommRingAlgebraCommRingAlgebraAlgebraIsScalarTowerAlgebra.Presentation.HasCoeffs