Theorems · Definition · category theory

CategoryTheory.ObjectProperty.IsClosedUnderLimitsOfShape.casesOn

{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] →
          {motive : P.IsClosedUnderLimitsOfShape J → Sort u} →
            (t : P.IsClosedUnderLimitsOfShape J) → ((limitsOfShape_le : P.limitsOfShape J ≤ P) → motive ⋯) → motive t

Defined in

Mathlib.CategoryTheory.ObjectProperty.LimitsOfShape

Cited by

1 results in Mathlib

Foundations

Depth 6 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category