Theorems · Theorem · algebraic topology
SSet.iSup_subcomplexOfSimplex_prod_eq_top
∀ (X₁ X₂ : SSet), ⨆ x₁, ⨆ x₂, (SSet.Subcomplex.ofSimplex x₁.simplex).prod (SSet.Subcomplex.ofSimplex x₂.simplex) = ⊤
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- Top.topstatement and proof · cited by 9,680
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.MonoidalCategoryStruct.tensorObjstatement and proof · cited by 3,106
- Set.iUnionproof · cited by 2,483
- iSupstatement and proof · cited by 2,415
- Set.extproof · cited by 2,266
- SimplexCategorystatement and proof · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement · cited by 461
- CategoryTheory.Subfunctor.objproof · cited by 227
- SSet.N.toSstatement and proof · cited by 171
Cited by1
Results whose statement or proof uses this declaration.
- SSet.hasDimensionLT_prodproof · cited by 1