Theorems · Theorem · category theory
CategoryTheory.Limits.multicospanIndexEnd_left
∀ {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)) (j : (CategoryTheory.Limits.multicospanShapeEnd J).L),
(CategoryTheory.Limits.multicospanIndexEnd F).left j = (F.obj (Opposite.op j)).obj j- 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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Limits.MulticospanShape.Lstatement and proof · cited by 135
- CategoryTheory.Limits.MulticospanIndex.leftstatement and proof · cited by 119
- CategoryTheory.Limits.multicospanShapeEndstatement and proof · cited by 23
- CategoryTheory.Limits.multicospanIndexEndstatement and proof · cited by 22
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.