Theorems · Theorem · category theory

CategoryTheory.Regular.frobeniusMorphism_isPullback

∀ {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.IsPullback (CategoryTheory.Regular.frobeniusMorphism f A' B')
    ((A' ⊓ (CategoryTheory.Subobject.pullback f).obj B').ofLE A' ⋯)
    (((CategoryTheory.Subobject.exists f).obj A' ⊓ B').ofLE ((CategoryTheory.Subobject.exists f).obj A') ⋯)
    (CategoryTheory.Subobject.imageFactorisation f A').F.e

Defined in

Mathlib.CategoryTheory.RegularCategory.Basic

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Regular