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Theorems · Theorem · group theory

CategoryTheory.Subgroupoid.comap_comp

∀ {C : Type u} [inst : CategoryTheory.Groupoid C] {D : Type u_1} [inst_1 : CategoryTheory.Groupoid D]
  (φ : CategoryTheory.Functor C D) {E : Type u_2} [inst_2 : CategoryTheory.Groupoid E] (ψ : CategoryTheory.Functor D E),
  CategoryTheory.Subgroupoid.comap (φ.comp ψ) = CategoryTheory.Subgroupoid.comap φ ∘ CategoryTheory.Subgroupoid.comap ψ
Defined in
Mathlib.CategoryTheory.Groupoid.Subgroupoid
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0 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.GroupoidCategoryTheory.GroupoidCategoryTheory.Groupoid
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CategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.Groupoid · cited by 182CategoryTheory.GroupoidCategoryTheory.Subgroupoid · cited by 75CategoryTheory.SubgroupoidCategoryTheory.Subgroupoid.comap · cited by 8Subgroupoid.comapSubgroupoid.comap_compCITED BYCITES

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