Mathlib Map

Theorems · Definition · category theory

CategoryTheory.ComposableArrows.whiskerLeft

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    {n m : ℕ} →
      CategoryTheory.ComposableArrows C m →
        CategoryTheory.Functor (Fin (n + 1)) (Fin (m + 1)) → CategoryTheory.ComposableArrows C n

The map ComposableArrows C m → ComposableArrows C n obtained by precomposition with a functor Fin (n + 1) ⥤ Fin (m + 1).

Defined in
Mathlib.CategoryTheory.ComposableArrows.Basic
Cited by
3 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.nerve · cited by 68CategoryTheory.nerveCategoryTheory.ComposableArrows.whiskerLeftFunctor · cited by 3ComposableArrows.whiskerL…CategoryTheory.nerve_map · cited by 0CategoryTheory.nerve_mapCategoryTheory.ComposableArrows.whiskerLeft_map · cited by 0ComposableArrows.whiskerL…CategoryTheory.ComposableArrows.whiskerLeft_obj · cited by 0ComposableArrows.whiskerL…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.ComposableArrows · cited by 627CategoryTheory.Composable…ComposableArrows.whiskerLeftCITED BYCITES

Cites4

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

Cited by5

Results whose statement or proof uses this declaration.