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Theorems · Theorem · category theory

AddSemigrp.ofHom_comp

∀ {X Y Z : Type u} [inst : AddSemigroup X] [inst_1 : AddSemigroup Y] [inst_2 : AddSemigroup Z] (f : X →ₙ+ Y)
  (g : Y →ₙ+ Z),
  AddSemigrp.ofHom (g.comp f) = CategoryTheory.CategoryStruct.comp (AddSemigrp.ofHom f) (AddSemigrp.ofHom g)
Defined in
Mathlib.Algebra.Category.Semigrp.Basic
Cited by
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Foundations
Depth 17 from the axioms · uses propext
Assumes
AddSemigroupAddSemigroupAddSemigroup
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Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compAddHom · cited by 294AddHomAddSemigroup · cited by 136AddSemigroupAddHom.comp · cited by 37AddHom.compAddSemigrp · cited by 25AddSemigrpAddSemigrp.of · cited by 9AddSemigrp.ofAddSemigrp.ofHom · cited by 8AddSemigrp.ofHomAddSemigrp.ofHom_compCITED BYCITES

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