Theorems · Definition · category theory

CategoryTheory.NatTrans.Equifibered

{J : Type u_1} →
  {C : Type u_3} →
    [inst : CategoryTheory.Category.{v_1, u_1} J] →
      [inst_1 : CategoryTheory.Category.{v_2, u_3} C] → CategoryTheory.MorphismProperty (CategoryTheory.Functor J C)

A natural transformation is equifibered if every commutative square of the following form is a pullback. `` F(X) → F(Y) ↓ ↓ G(X) → G(Y) ``

Defined in

Mathlib.CategoryTheory.Limits.Shapes.Pullback.Equifibered

Cited by

41 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category