Theorems · Theorem · category theory

CommRingCat.moduleCatRestrictScalarsPseudofunctor_mapComp

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

Defined in: Mathlib.Algebra.Category.ModuleCat.Pseudofunctor
Cited by: 0 results in Mathlib
Foundations: Depth 40 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
Opposite.unopstatement · cited by 2,231
ModuleCatstatement · cited by 1,429
CommRingCat.carrierstatement · cited by 1,096
Quiver.Hom.unopstatement · cited by 903
RingHom.compstatement · cited by 899

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