Theorems · Theorem · category theory

CategoryTheory.Limits.multicospanIndexEnd_fst

∀ {J : Type u} [inst : CategoryTheory.Category.{v, u} J] {C : Type u'} [inst_1 : CategoryTheory.Category.{v', u'} C]
  (F : CategoryTheory.Functor Jᵒᵖ (CategoryTheory.Functor J C)) (f : (CategoryTheory.Limits.multicospanShapeEnd J).R),
  (CategoryTheory.Limits.multicospanIndexEnd F).fst f =
    (F.obj (Opposite.op (CategoryTheory.Arrow.left f))).map (CategoryTheory.Arrow.hom f)

Defined in

Mathlib.CategoryTheory.Limits.Shapes.End

Cited by

0 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category