Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.isClosedUnderColimitsOfShape_op_iff_op

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (P : CategoryTheory.ObjectProperty C) (J : Type u')
  [inst_1 : CategoryTheory.Category.{v', u'} J], P.IsClosedUnderColimitsOfShape Jᵒᵖ ↔ P.op.IsClosedUnderLimitsOfShape J

Defined in

Mathlib.CategoryTheory.ObjectProperty.ColimitsOfShape

Cited by

1 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category