Theorems · Theorem · commutative algebra

CharacterModule.homEquiv_apply_apply

∀ {R : Type uR} [inst : CommRing R] {A : Type uA} [inst_1 : AddCommGroup A] {B : Type uB} [inst_2 : AddCommGroup B]
  [inst_3 : Module R A] [inst_4 : Module R B] (c : A →ₗ[R] CharacterModule B)
  (x : (addConGen (TensorProduct.Eqv R A B)).Quotient),
  (CharacterModule.homEquiv c) x = AddCon.liftOn x ⇑(FreeAddMonoid.lift fun mn => (c.toAddMonoidHom mn.1) mn.2) ⋯

Defined in

Mathlib.Algebra.Module.CharacterModule

Cited by

0 results in Mathlib

Foundations

Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingAddCommGroupAddCommGroupModuleModule