Theorems · Theorem · commutative algebra

Algebra.Generators.baseChangeToBaseChange_apply

∀ {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) {T : Type u_2} [inst_3 : CommRing T] [inst_4 : Algebra R T]
  (x : (Algebra.Generators.baseChange T P).toExtension.Ring),
  (P.baseChangeToBaseChange T).toRingHom x = (MvPolynomial.algebraTensorAlgEquiv R T).symm x

Defined in

Mathlib.RingTheory.Extension.Generators

Cited by

0 results in Mathlib

Foundations

Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraCommRingAlgebra