Theorems · Theorem · category theory
CategoryTheory.SimplicialThickening.id_app
∀ (J : Type u_1) [inst : LinearOrder J] (x : CategoryTheory.SimplicialThickening J) (x_1 : SimplexCategoryᵒᵖ),
(CategoryTheory.EnrichedCategory.id x).app x_1 =
TypeCat.ofHom fun x_2 =>
(CategoryTheory.Functor.const (Fin ((Opposite.unop x_1).len + 1))).obj (CategoryTheory.CategoryStruct.id x)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- LinearOrderstatement and proof · cited by 8,572
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- Opposite.unopstatement · cited by 2,231
- SimplexCategorystatement and proof · cited by 2,204
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- SSetstatement · cited by 1,283
- CategoryTheory.Functor.conststatement · cited by 1,264
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