Theorems · Theorem · commutative algebra

LinearMap.liftBaseChangeEquiv_symm_apply

∀ {R : Type u_4} {M : Type u_2} {N : Type u_3} (A : Type u_1) [inst : CommSemiring R] [inst_1 : CommSemiring A]
  [inst_2 : Algebra R A] [inst_3 : AddCommMonoid M] [inst_4 : AddCommMonoid N] [inst_5 : Module R M]
  [inst_6 : Module R N] [inst_7 : Module A N] [inst_8 : IsScalarTower R A N] (l : TensorProduct R A M →ₗ[A] N) (x : M),
  ((LinearMap.liftBaseChangeEquiv A).symm l) x = l (1 ⊗ₜ[R] x)

Defined in

Mathlib.RingTheory.TensorProduct.Basic

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringCommSemiringAlgebraAddCommMonoidAddCommMonoidModuleModuleModuleIsScalarTower