Theorems · Definition · category theory

CategoryTheory.HasShift.shift

{C : Type u} →
  {A : Type u_2} →
    {inst : CategoryTheory.Category.{v, u} C} →
      {inst_1 : AddMonoid A} →
        [self : CategoryTheory.HasShift C A] →
          CategoryTheory.Functor (CategoryTheory.Discrete A) (CategoryTheory.Functor C C)

a shift is a monoidal functor from A to C ⥤ C

Defined in: Mathlib.CategoryTheory.Shift.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.HasShift

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Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement · cited by 16,252
AddMonoidstatement and proof · cited by 2,864
CategoryTheory.Discretestatement · cited by 2,447
CategoryTheory.HasShiftstatement and proof · cited by 1,527

Cited by2

Results whose statement or proof uses this declaration.

CategoryTheory.shiftMonoidalFunctorproof · cited by 5
CategoryTheory.HasShift.shiftMonoidalstatement · cited by 0