Theorems · Theorem · category theory
SSet.Subcomplex.prod_obj
∀ {X Y : SSet} (A : X.Subcomplex) (B : Y.Subcomplex) (Δ : SimplexCategoryᵒᵖ),
(A.prod B).obj Δ = (A.obj Δ).prod (B.obj Δ)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CategoryTheory.Functor.objstatement · cited by 19,642
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- SimplexCategorystatement and proof · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- CategoryTheory.Subfunctor.objstatement and proof · cited by 227
- SSet.Subcomplex.prodstatement and proof · cited by 13
- Set.prodstatement · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- SSet.iSup_subcomplexOfSimplex_prod_eq_topproof · cited by 1