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Theorems · Theorem · category theory

CategoryTheory.StrongMonoCategory.strongMono_of_mono

∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} [self : CategoryTheory.StrongMonoCategory C] {X Y : C}
  (f : X ⟶ Y) [CategoryTheory.Mono f], CategoryTheory.StrongMono f

A strong mono category is a category in which every monomorphism is strong.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.StrongEpi
Cited by
1 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
CategoryTheory.StrongMonoCategoryCategoryTheory.Mono
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CategoryTheory.strongMono_of_mono · cited by 0CategoryTheory.strongMono…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Mono · cited by 893CategoryTheory.MonoCategoryTheory.StrongMono · cited by 11CategoryTheory.StrongMonoCategoryTheory.StrongMonoCategory · cited by 2CategoryTheory.StrongMono…StrongMonoCategory.strongMono…CITED BYCITES

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