Theorems · Definition · category theory

CategoryTheory.Limits.IsLimit.lift

{J : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} J] →
    {C : Type u₃} →
      [inst_1 : CategoryTheory.Category.{v₃, u₃} C] →
        {F : CategoryTheory.Functor J C} →
          {t : CategoryTheory.Limits.Cone F} →
            CategoryTheory.Limits.IsLimit t → (s : CategoryTheory.Limits.Cone F) → s.pt ⟶ t.pt

There is a morphism from any cone point to t.pt

Defined in

Mathlib.CategoryTheory.Limits.IsLimit

Cited by

167 results in Mathlib

Foundations

Depth 4 from the axioms, rests on 11 definitions · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category