Theorems · Definition · category theory
SSet.Subcomplex.unionProd
{X Y : SSet} → X.Subcomplex → Y.Subcomplex → (CategoryTheory.MonoidalCategoryStruct.tensorObj X Y).SubcomplexGiven S ≤ X and T ≤ Y, this is the subcomplex of X ⊗ Y given by (X ⊗ T) ⊔ (S ⊗ Y).
- Cited by
- 96 results in Mathlib
- Foundations
- Depth 66 from the axioms, rests on 999 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- Oppositestatement · cited by 8,081
- 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.prodproof · cited by 13
Cited by120
Results whose statement or proof uses this declaration.
- SSet.prodStdSimplex.pairingCore.IsIndexstatement and proof · cited by 26
- SSet.prodStdSimplex.pairingCore.minstatement and proof · cited by 18
- SSet.prodStdSimplex.pairingCore.IsType₂.φstatement and proof · cited by 14
- SSet.prodStdSimplex.pairingCore.IsType₂statement and proof · cited by 14
- SSet.prodStdSimplex.pairingCore.Type₁.xstatement · cited by 10
- SSet.Subcomplex.unionProd.pushoutObjObjproof · cited by 10
- SSet.prodStdSimplex.pairingCore.IsIndex.δstatement and proof · cited by 7
- SSet.prodStdSimplex.pairingCore.IsType₂.simplexstatement and proof · cited by 7
- SSet.prodStdSimplex.pairingCore.finsetstatement and proof · cited by 7
- SSet.prodStdSimplex.pairingCorestatement and proof · cited by 6
- SSet.Subcomplex.unionProd.ι₁statement · cited by 6
- SSet.Subcomplex.unionProd.ι₂statement · cited by 6