Theorems · Definition · category theory

CategoryTheory.CreatesLimit.lifts

{C : Type u₁} →
  {inst : CategoryTheory.Category.{v₁, u₁} C} →
    {D : Type u₂} →
      {inst_1 : CategoryTheory.Category.{v₂, u₂} D} →
        {J : Type w} →
          {inst_2 : CategoryTheory.Category.{w', w} J} →
            {K : CategoryTheory.Functor J C} →
              {F : CategoryTheory.Functor C D} →
                [self : CategoryTheory.CreatesLimit K F] →
                  (c : CategoryTheory.Limits.Cone (K.comp F)) →
                    CategoryTheory.Limits.IsLimit c → CategoryTheory.LiftableCone K F c

any limit cone can be lifted to a cone above

Defined in

Mathlib.CategoryTheory.Limits.Creates

Cited by

0 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CreatesLimit