Theorems · Theorem · category theory
SSet.Subcomplex.unionProd.isPushout
∀ {X Y : SSet} (S : X.Subcomplex) (T : Y.Subcomplex),
CategoryTheory.IsPushout (CategoryTheory.MonoidalCategoryStruct.whiskerRight S.ι T.toSSet)
(CategoryTheory.MonoidalCategoryStruct.whiskerLeft S.toSSet T.ι) (SSet.Subcomplex.unionProd.ι₁ S T)
(SSet.Subcomplex.unionProd.ι₂ S T)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- CategoryTheory.MonoidalCategoryStruct.whiskerLeftstatement · cited by 915
- CategoryTheory.MonoidalCategoryStruct.whiskerRightstatement · cited by 903
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.Iso.transproof · cited by 566
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.toSSetstatement and proof · cited by 315
- CategoryTheory.IsPushoutstatement · cited by 219
Cited by4
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.unionProd.pushoutObjObjproof · cited by 10
- SSet.Subcomplex.unionProd.ιIsoproof · cited by 4
- SSet.Subcomplex.unionProd.ιIso_hom_leftstatement · cited by 0
- SSet.Subcomplex.unionProd.ιIso_inv_leftstatement · cited by 0