Theorems · Definition · category theory

CategoryTheory.CountableAB4.recOn

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasCountableCoproducts C] →
      {motive : CategoryTheory.CountableAB4 C → Sort u_1} →
        (t : CategoryTheory.CountableAB4 C) →
          ((ofShape :
                ∀ (α : Type) [inst_2 : Countable α],
                  CategoryTheory.HasExactColimitsOfShape (CategoryTheory.Discrete α) C) →
              motive ⋯) →
            motive t

Defined in

Mathlib.CategoryTheory.Abelian.GrothendieckAxioms.Basic

Cited by

0 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasCountableCoproducts