Mathlib Map

Theorems · Theorem · category theory

CategoryTheory.strongEpi_of_epi

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {P Q : C} [CategoryTheory.StrongEpiCategory C] (f : P ⟶ Q)
  [CategoryTheory.Epi f], CategoryTheory.StrongEpi f
Defined in
Mathlib.CategoryTheory.Limits.Shapes.StrongEpi
Cited by
3 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.StrongEpiCategoryCategoryTheory.Epi
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.ObjectProperty.SerreClassLocalization.map_comp_eq_zero_iff_of_epi_mono · cited by 2SerreClassLocalization.ma…SimplexCategory.image_ι_eq · cited by 2SimplexCategory.image_ι_eqSimplexCategory.image_eq · cited by 1SimplexCategory.image_eqCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Epi · cited by 688CategoryTheory.EpiCategoryTheory.StrongEpi · cited by 21CategoryTheory.StrongEpiCategoryTheory.StrongEpiCategory · cited by 11CategoryTheory.StrongEpiC…CategoryTheory.StrongEpiCategory.strongEpi_of_epi · cited by 1StrongEpiCategory.strongE…CategoryTheory.strongEpi_of_e…CITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.