Theorems · Theorem · linear algebra

IsBaseChange.toDual_comp_apply

∀ {R : Type u_1} [inst : CommSemiring R] {V : Type u_2} [inst_1 : AddCommMonoid V] [inst_2 : Module R V] {W : Type u_3}
  [inst_3 : AddCommMonoid W] [inst_4 : Module R W] {A : Type u_4} [inst_5 : CommSemiring A] [inst_6 : Algebra R A]
  [inst_7 : Module A W] [inst_8 : IsScalarTower R A W] {j : V →ₗ[R] W} (ibc : IsBaseChange A j) (f : Module.Dual R V)
  (v : V), (ibc.toDual f) (j v) = (algebraMap R A) (f v)

Defined in

Mathlib.LinearAlgebra.Dual.BaseChange

Cited by

3 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleAddCommMonoidModuleCommSemiringAlgebraModuleIsScalarTower