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Theorems · Theorem · group theory

CategoryTheory.Subgroupoid.comap_mono

∀ {C : Type u} [inst : CategoryTheory.Groupoid C] {D : Type u_1} [inst_1 : CategoryTheory.Groupoid D]
  (φ : CategoryTheory.Functor C D) (S T : CategoryTheory.Subgroupoid D),
  S ≤ T → CategoryTheory.Subgroupoid.comap φ S ≤ CategoryTheory.Subgroupoid.comap φ T
Defined in
Mathlib.CategoryTheory.Groupoid.Subgroupoid
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Foundations
Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.GroupoidCategoryTheory.Groupoid
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Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Groupoid · cited by 182CategoryTheory.GroupoidCategoryTheory.Subgroupoid · cited by 75CategoryTheory.SubgroupoidCategoryTheory.Subgroupoid.comap · cited by 8Subgroupoid.comapSubgroupoid.comap_monoCITED BYCITES

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