Theorems · Definition · category theory

LinearEquiv.toFGModuleCatIso

{R : Type u} →
  [inst : Ring R] →
    {V W : Type v} →
      [inst_1 : AddCommGroup V] →
        [inst_2 : Module R V] →
          [inst_3 : Module.Finite R V] →
            [inst_4 : AddCommGroup W] →
              [inst_5 : Module R W] →
                [inst_6 : Module.Finite R W] → (V ≃ₗ[R] W) → (FGModuleCat.of R V ≅ FGModuleCat.of R W)

Converts a LinearEquiv to an isomorphism in the category FGModuleCat R.

Defined in

Mathlib.Algebra.Category.FGModuleCat.Basic

Cited by

2 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Quot.sound

Assumes

RingAddCommGroupModuleModule.FiniteAddCommGroupModuleModule.Finite