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CommAlgCat.ofHom_comp

∀ {R : Type u} [inst : CommRing R] {X Y Z : Type v} [inst_1 : CommRing X] [inst_2 : Algebra R X] [inst_3 : CommRing Y]
  [inst_4 : Algebra R Y] [inst_5 : CommRing Z] [inst_6 : Algebra R Z] (f : X →ₐ[R] Y) (g : Y →ₐ[R] Z),
  CommAlgCat.ofHom (g.comp f) = CategoryTheory.CategoryStruct.comp (CommAlgCat.ofHom f) (CommAlgCat.ofHom g)
Defined in
Mathlib.Algebra.Category.CommAlgCat.Basic
Cited by
0 results in Mathlib
Foundations
Depth 29 from the axioms · uses propext, Quot.sound
Assumes
CommRingCommRingAlgebraCommRingAlgebraCommRingAlgebra
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Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCommRing · cited by 17173CommRingAlgebra · cited by 11388AlgebraAlgHom · cited by 3236AlgHomAlgHom.comp · cited by 501AlgHom.compCommAlgCat · cited by 96CommAlgCatCommAlgCat.of · cited by 33CommAlgCat.ofCommAlgCat.ofHom · cited by 24CommAlgCat.ofHomCommAlgCat.ofHom_compCITED BYCITES

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