Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.ColimitOfShape.prop_diag_obj

∀ {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] {X : C} (self : P.ColimitOfShape J X) (j : J), P (self.diag.obj j)

Defined in

Mathlib.CategoryTheory.ObjectProperty.ColimitsOfShape

Cited by

17 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category