Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.shiftClosure_eq_iSup

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (P : CategoryTheory.ObjectProperty C)
  [P.IsClosedUnderIsomorphisms] (G : Type u_4) [inst_2 : AddGroup G] [inst_3 : CategoryTheory.HasShift C G],
  P.shiftClosure G = ⨆ x, P.shift x

Defined in

Mathlib.CategoryTheory.ObjectProperty.Shift

Cited by

0 results in Mathlib

Foundations

Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.ObjectProperty.IsClosedUnderIsomorphismsAddGroupCategoryTheory.HasShift