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Theorems · Theorem · category theory

CategoryTheory.ConcreteCategory.hom_injective

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {FC : C → C → Type u_1} {CC : C → Type w}
  [inst_1 : (X Y : C) → FunLike (FC X Y) (CC X) (CC Y)] [inst_2 : CategoryTheory.ConcreteCategory C FC] {X Y : C},
  Function.Injective CategoryTheory.ConcreteCategory.hom
Defined in
Mathlib.CategoryTheory.ConcreteCategory.Basic
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses Quot.sound
Assumes
CategoryTheory.CategoryFunLikeCategoryTheory.ConcreteCategory
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CategoryTheory.ConcreteCategory.ext · cited by 107ConcreteCategory.extCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homFunLike · cited by 2560FunLikeCategoryTheory.ConcreteCategory · cited by 421CategoryTheory.ConcreteCa…Function.Bijective.injective · cited by 115Bijective.injectiveCategoryTheory.ToHom · cited by 6CategoryTheory.ToHomCategoryTheory.ConcreteCategory.hom_bijective · cited by 2ConcreteCategory.hom_bije…ConcreteCategory.hom_injectiveCITED BYCITES

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Cited by1

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