Theorems · Inductive type · category theory

CategoryTheory.ObjectProperty.IsClosedUnderLimitsOfShape

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    CategoryTheory.ObjectProperty C → (J : Type u') → [CategoryTheory.Category.{v', u'} J] → Prop

A property of objects satisfies P.IsClosedUnderLimitsOfShape J if it is stable by limits of shape J.

Defined in

Mathlib.CategoryTheory.ObjectProperty.LimitsOfShape

Cited by

49 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category