Theorems · Definition · category theory
SSet.Subcomplex.unionProd.symmIso
{X Y : SSet} → (S : X.Subcomplex) → (T : Y.Subcomplex) → (S.unionProd T).toSSet ≅ (T.unionProd S).toSSetThe isomorphism unionProd S T ≅ unionProd T S as simplicial sets.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Oppositestatement · cited by 8,081
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement · cited by 3,106
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.toSSetstatement · cited by 315
- CategoryTheory.BraidedCategory.braidingproof · cited by 257
- SSet.Subcomplex.ιproof · cited by 136
- SSet.Subcomplex.unionProdstatement and proof · cited by 96
Cited by2
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.unionProd.symmIso_homstatement and proof · cited by 0
- SSet.Subcomplex.unionProd.symmIso_invstatement and proof · cited by 0