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Theorems · Definition · category theory

CategoryTheory.shiftMonoidalFunctor

(C : Type u) →
  (A : Type u_1) →
    [inst : CategoryTheory.Category.{v, u} C] →
      [inst_1 : AddMonoid A] →
        [CategoryTheory.HasShift C A] → CategoryTheory.Functor (CategoryTheory.Discrete A) (CategoryTheory.Functor C C)

The monoidal functor from A to C ⥤ C given a HasShift instance.

Defined in
Mathlib.CategoryTheory.Shift.Basic
Cited by
5 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryAddMonoidCategoryTheory.HasShift
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Around this declaration

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CategoryTheory.shiftFunctor · cited by 1553CategoryTheory.shiftFunct…CategoryTheory.shiftFunctorZero · cited by 82CategoryTheory.shiftFunct…CategoryTheory.shiftFunctorAdd · cited by 54CategoryTheory.shiftFunct…CategoryTheory.shiftFunctorAdd'_add_zero · cited by 3CategoryTheory.shiftFunct…CategoryTheory.shiftFunctorAdd'_assoc · cited by 3CategoryTheory.shiftFunct…CategoryTheory.pullbackShiftFunctorZero_inv_app · cited by 2CategoryTheory.pullbackSh…CategoryTheory.shiftFunctorAdd'_zero_add · cited by 2CategoryTheory.shiftFunct…CategoryTheory.pullbackShiftFunctorAdd'_inv_app · cited by 1CategoryTheory.pullbackSh…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorAddMonoid · cited by 2864AddMonoidCategoryTheory.Discrete · cited by 2447CategoryTheory.DiscreteCategoryTheory.HasShift · cited by 1527CategoryTheory.HasShiftCategoryTheory.HasShift.shift · cited by 0HasShift.shiftCategoryTheory.shiftMonoidalF…CITED BYCITES

Cites6

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Cited by8

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