Theorems · Theorem · category theory

CommRingCat.moduleCatExtendScalarsPseudofunctor_mapComp

∀ {a b c : CategoryTheory.LocallyDiscrete CommRingCat} (x : a ⟶ b) (x_1 : b ⟶ c),
  CommRingCat.moduleCatExtendScalarsPseudofunctor.mapComp x x_1 =
    CategoryTheory.Cat.Hom.isoMk (ModuleCat.extendScalarsComp (CommRingCat.Hom.hom x.as) (CommRingCat.Hom.hom x_1.as))

Defined in: Mathlib.Algebra.Category.ModuleCat.Pseudofunctor
Cited by: 0 results in Mathlib
Foundations: Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound

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CategoryTheory.Isostatement · cited by 3,963
CommRingCatstatement and proof · cited by 2,333
ModuleCatstatement · cited by 1,429
CommRingCat.carrierstatement · cited by 1,096
RingHom.compstatement · cited by 899
CategoryTheory.Catstatement · cited by 884
CategoryTheory.Bundled.αstatement · cited by 736
CategoryTheory.Cat.Hom.toFunctorstatement · cited by 531

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