Theorems · Definition · category theory

CategoryTheory.CostructuredArrow.IsUniversal.lift

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {T : D} →
          {S : CategoryTheory.Functor C D} →
            {f : CategoryTheory.CostructuredArrow S T} →
              f.IsUniversal → (g : CategoryTheory.CostructuredArrow S T) → g.left ⟶ f.left

The family of morphisms into a universal arrow.

Defined in

Mathlib.CategoryTheory.Comma.StructuredArrow.Basic

Cited by

5 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category