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Theorems · Theorem · group theory

CategoryTheory.Subgroupoid.inclusion_comp_embedding

∀ {C : Type u} [inst : CategoryTheory.Groupoid C] {S T : CategoryTheory.Subgroupoid C} (h : S ≤ T),
  (CategoryTheory.Subgroupoid.inclusion h).comp T.hom = S.hom
Defined in
Mathlib.CategoryTheory.Groupoid.Subgroupoid
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Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Groupoid
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CategoryTheory.Functor · cited by 16252CategoryTheory.FunctorSet.Elem · cited by 7166Set.ElemCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.Groupoid · cited by 182CategoryTheory.GroupoidCategoryTheory.Subgroupoid · cited by 75CategoryTheory.SubgroupoidCategoryTheory.Subgroupoid.objs · cited by 29Subgroupoid.objsCategoryTheory.Subgroupoid.inclusion · cited by 5Subgroupoid.inclusionCategoryTheory.Subgroupoid.hom · cited by 3Subgroupoid.homSubgroupoid.inclusion_comp_em…CITED BYCITES

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