Theorems · Definition · category theory

CategoryTheory.Subobject.leInfCone

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.LocallySmall.{w, v₁, u₁} C] →
      [inst_2 : CategoryTheory.WellPowered.{w, v₁, u₁} C] →
        {A : C} →
          (s : Set (CategoryTheory.Subobject A)) →
            (f : CategoryTheory.Subobject A) →
              (∀ g ∈ s, f ≤ g) → CategoryTheory.Limits.Cone (CategoryTheory.Subobject.wideCospan s)

Auxiliary construction of a cone for le_inf.

Defined in

Mathlib.CategoryTheory.Subobject.Lattice

Cited by

2 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.LocallySmallCategoryTheory.WellPowered