Theorems · Definition · category theory

CategoryTheory.Regular.regularEpiOfExtremalEpi

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [CategoryTheory.Regular C] →
      {X Y : C} → (f : X ⟶ Y) → [h : CategoryTheory.ExtremalEpi f] → CategoryTheory.RegularEpi f

In a regular category, every extremal epimorphism is a regular epimorphism.

Defined in: Mathlib.CategoryTheory.RegularCategory.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Regular CategoryTheory.ExtremalEpi

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