Theorems · Theorem · commutative algebra

AlgHom.liftEquiv_tmul

∀ {R : Type u_4} {S : Type u_5} {A : Type u_6} {B : Type u_7} [inst : CommSemiring R] [inst_1 : CommSemiring S]
  [inst_2 : Semiring A] [inst_3 : Semiring B] [inst_4 : Algebra R A] [inst_5 : Algebra S B] [inst_6 : Algebra R S]
  [inst_7 : Algebra R B] [inst_8 : IsScalarTower R S B] (f : A →ₐ[R] B) (s : S) (a : A),
  ((AlgHom.liftEquiv R S A B) f) (s ⊗ₜ[R] a) = s • f a

Defined in

Mathlib.RingTheory.TensorProduct.Basic

Cited by

0 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringCommSemiringSemiringSemiringAlgebraAlgebraAlgebraAlgebraIsScalarTower