Theorems · Definition · category theory

CategoryTheory.Limits.Cone.isLimitEquivIsTerminal

{J : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} J] →
    {C : Type u₃} →
      [inst_1 : CategoryTheory.Category.{v₃, u₃} C] →
        {F : CategoryTheory.Functor J C} →
          (c : CategoryTheory.Limits.Cone F) → CategoryTheory.Limits.IsLimit c ≃ CategoryTheory.Limits.IsTerminal c

A cone is a limit cone iff it is terminal.

Defined in

Mathlib.CategoryTheory.Limits.ConeCategory

Cited by

4 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category