Theorems · Theorem · category theory

ModuleCat.extendScalars_comp_id

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

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