Theorems · Theorem · algebraic topology
SSet.Subcomplex.BicartSq.isPushout
∀ {X : SSet} {A₁ A₂ A₃ A₄ : X.Subcomplex} (sq : A₁.BicartSq A₂ A₃ A₄),
CategoryTheory.IsPushout (SSet.Subcomplex.homOfLE ⋯) (SSet.Subcomplex.homOfLE ⋯) (SSet.Subcomplex.homOfLE ⋯)
(SSet.Subcomplex.homOfLE ⋯)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- Oppositestatement and proof · cited by 8,081
- SimplexCategorystatement and proof · 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.Subfunctor.objproof · cited by 227
- CategoryTheory.IsPushoutstatement · cited by 219
- CategoryTheory.evaluationproof · cited by 173
- Equiv.invFunproof · cited by 163
- CategoryTheory.Limits.PushoutCocone.mkproof · cited by 89
- CategoryTheory.IsPushout.isColimitproof · cited by 30
Cited by4
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.unionProd.isPushoutproof · cited by 2
- SSet.horn₂₁.isPushoutproof · cited by 0
- SSet.horn₂₂.isPushoutproof · cited by 0
- SSet.horn₂₀.isPushoutproof · cited by 0