Theorems · Theorem · category theory

CategoryTheory.regularTopology.equalizerCondition_w

∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] (P : CategoryTheory.Functor Cᵒᵖ D) {X B : C} {π : X ⟶ B}
  (c : CategoryTheory.Limits.PullbackCone π π),
  CategoryTheory.CategoryStruct.comp (P.map π.op) (P.map c.fst.op) =
    CategoryTheory.CategoryStruct.comp (P.map π.op) (P.map c.snd.op)

Defined in

Mathlib.CategoryTheory.Sites.Coherent.RegularSheaves

Cited by

7 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category