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Theorems · Definition · category theory

CategoryTheory.DifferentialObject.shiftFunctor

{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] →
            S → CategoryTheory.Functor (CategoryTheory.DifferentialObject S C) (CategoryTheory.DifferentialObject S C)

The shift functor on DifferentialObject S C.

Defined in
Mathlib.CategoryTheory.DifferentialObject
Cited by
7 results in Mathlib
Foundations
Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommGroupWithOneCategoryTheory.CategoryCategoryTheory.Limits.HasZeroMorphismsCategoryTheory.HasShift

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.DifferentialObject.shiftZero · cited by 2DifferentialObject.shiftZ…CategoryTheory.DifferentialObject.shiftFunctorAdd · cited by 2DifferentialObject.shiftF…CategoryTheory.DifferentialObject.shiftFunctor_obj_obj · cited by 0DifferentialObject.shiftF…CategoryTheory.DifferentialObject.shiftZero_hom_app_f · cited by 0DifferentialObject.shiftZ…CategoryTheory.DifferentialObject.shiftZero_inv_app_f · cited by 0DifferentialObject.shiftZ…CategoryTheory.DifferentialObject.shiftFunctorAdd_hom_app_f · cited by 0DifferentialObject.shiftF…CategoryTheory.DifferentialObject.shiftFunctorAdd_inv_app_f · cited by 0DifferentialObject.shiftF…CategoryTheory.DifferentialObject.shiftFunctor_map_f · cited by 0DifferentialObject.shiftF…CategoryTheory.DifferentialObject.shiftFunctor_obj_d · cited by 0DifferentialObject.shiftF…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.Iso.hom · cited by 7684Iso.homCategoryTheory.Limits.HasZeroMorphisms · cited by 3275Limits.HasZeroMorphismsCategoryTheory.shiftFunctor · cited by 1553CategoryTheory.shiftFunct…CategoryTheory.HasShift · cited by 1527CategoryTheory.HasShiftCategoryTheory.DifferentialObject · cited by 61CategoryTheory.Differenti…AddCommGroupWithOne · cited by 61AddCommGroupWithOneCategoryTheory.DifferentialObject.obj · cited by 50DifferentialObject.objCategoryTheory.DifferentialObject.Hom.f · cited by 28Hom.fCategoryTheory.DifferentialObject.d · cited by 23DifferentialObject.dDifferentialObject.shiftFunct…CITED BYCITES

Cites16

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Cited by9

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