Theorems · Theorem · category theory

CategoryTheory.Regular.frobeniusStrongEpiMonoFactorisation_e

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Regular C] {A B : C} (f : A ⟶ B)
  (A' : CategoryTheory.Subobject A) (B' : CategoryTheory.Subobject B),
  (CategoryTheory.Regular.frobeniusStrongEpiMonoFactorisation f A' B').e =
    CategoryTheory.Regular.frobeniusMorphism f A' B'

Defined in

Mathlib.CategoryTheory.RegularCategory.Basic

Cited by

0 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Regular