Theorems · Theorem · category theory

CategoryTheory.DifferentialObject.shiftFunctor_obj_d

∀ {S : Type u_1} [inst : AddCommGroupWithOne S] (C : Type u) [inst_1 : CategoryTheory.Category.{v, u} C]
  [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] [inst_3 : CategoryTheory.HasShift C S] (n : S)
  (X : CategoryTheory.DifferentialObject S C),
  ((CategoryTheory.DifferentialObject.shiftFunctor C n).obj X).d =
    CategoryTheory.CategoryStruct.comp ((CategoryTheory.shiftFunctor C n).map X.d)
      (CategoryTheory.shiftComm X.obj 1 n).hom

Defined in

Mathlib.CategoryTheory.DifferentialObject

Cited by

0 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupWithOneCategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.HasShift