Theorems · Definition · category theory

CategoryTheory.IsCofiltered.inf

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [CategoryTheory.IsCofiltered C] →
      (O : Finset C) → Finset ((X : C) ×' (Y : C) ×' (_ : X ∈ O) ×' (_ : Y ∈ O) ×' (X ⟶ Y)) → C

An arbitrary choice of object "to the left" of a finite collection of objects O and morphisms H, making all the triangles commute.

Defined in

Mathlib.CategoryTheory.Filtered.Basic

Cited by

4 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.IsCofiltered