Theorems · Theorem · category theory

ModuleCat.extendScalars_id_comp

∀ {R₁ R₂ : Type u₁} [inst : CommRing R₁] [inst_1 : CommRing R₂] (f₁₂ : R₁ →+* R₂),
  CategoryTheory.CategoryStruct.comp (ModuleCat.extendScalarsComp (RingHom.id R₁) f₁₂).hom
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.Functor.whiskerRight (ModuleCat.extendScalarsId R₁).hom (ModuleCat.extendScalars f₁₂))
        (ModuleCat.extendScalars f₁₂).leftUnitor.hom) =
    CategoryTheory.CategoryStruct.id (ModuleCat.extendScalars (f₁₂.comp (RingHom.id R₁)))

Defined in

Mathlib.Algebra.Category.ModuleCat.ChangeOfRings

Cited by

1 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRing