Theorems · Theorem · linear algebra

Module.End.baseChangeHom_apply_apply

∀ (R : Type u_1) (A : Type u_2) (M : Type u_4) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
  [inst_3 : AddCommMonoid M] [inst_4 : Module R M] (a : Module.End R M) (a_1 : TensorProduct R A M),
  ((Module.End.baseChangeHom R A M) a) a_1 =
    (TensorProduct.liftAux
        (↑R { toFun := fun h => h ∘ₗ a, map_add' := ⋯, map_smul' := ⋯ } ∘ₗ
          ↑R (TensorProduct.AlgebraTensorModule.mk R A A M)))
      a_1

Defined in

Mathlib.LinearAlgebra.TensorProduct.Tower

Cited by

0 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraAddCommMonoidModule