Theorems · Definition · category theory

SemimoduleCat.ofHom

{R : Type u} →
  [inst : Semiring R] →
    {X Y : Type v} →
      [inst_1 : AddCommMonoid X] →
        [inst_2 : Module R X] →
          [inst_3 : AddCommMonoid Y] →
            [inst_4 : Module R Y] → (X →ₗ[R] Y) → (SemimoduleCat.of R X ⟶ SemimoduleCat.of R Y)

Typecheck a LinearMap as a morphism in SemimoduleCat.

Defined in

Mathlib.Algebra.Category.ModuleCat.Semi

Cited by

12 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Quot.sound

Assumes

SemiringAddCommMonoidModuleAddCommMonoidModule