Mathlib Map

Theorems · Definition · category theory

CategoryTheory.EffectiveEpi.getStruct

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    {X Y : C} → (f : Y ⟶ X) → [CategoryTheory.EffectiveEpi f] → CategoryTheory.EffectiveEpiStruct f

Some chosen EffectiveEpiStruct associated to an effective epi.

Defined in
Mathlib.CategoryTheory.EffectiveEpi.Basic
Cited by
2 results in Mathlib
Foundations
Depth 4 from the axioms · uses Classical.choice
Assumes
CategoryTheory.CategoryCategoryTheory.EffectiveEpi
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.EffectiveEpi.desc · cited by 4EffectiveEpi.descCategoryTheory.EffectiveEpi.fac · cited by 1EffectiveEpi.facCategoryTheory.EffectiveEpi.uniq · cited by 0EffectiveEpi.uniqCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomNonempty.some · cited by 340Nonempty.someCategoryTheory.EffectiveEpi · cited by 86CategoryTheory.EffectiveE…CategoryTheory.EffectiveEpiStruct · cited by 8CategoryTheory.EffectiveE…CategoryTheory.EffectiveEpi.effectiveEpi · cited by 1EffectiveEpi.effectiveEpiEffectiveEpi.getStructCITED 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.