Theorems · Inductive type · category theory

CategoryTheory.HasExactLimitsOfShape

(J : Type u') →
  [inst : CategoryTheory.Category.{v', u'} J] →
    (C : Type u) → [inst_1 : CategoryTheory.Category.{v, u} C] → [CategoryTheory.Limits.HasLimitsOfShape J C] → Prop

A category C is said to have exact limits of shape J provided that limits of shape J exist and are exact (in the sense that they preserve finite colimits).

Defined in

Mathlib.CategoryTheory.Abelian.GrothendieckAxioms.Basic

Cited by

13 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasLimitsOfShape