Theorems · Theorem · algebraic topology
SimplexCategory.toTopHomeo_naturality
∀ {n m : SimplexCategory} (f : n ⟶ m),
⇑m.toTopHomeo ∘ ⇑(CategoryTheory.ConcreteCategory.hom (SSet.toTop.map (SSet.stdSimplex.map f))) =
stdSimplex.map ⇑(CategoryTheory.ConcreteCategory.hom f) ∘ ⇑n.toTopHomeo- Cited by
- 1 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Quiver.Homstatement and proof · cited by 32,603
- Realstatement · cited by 25,697
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- Oppositestatement · cited by 8,081
- CategoryTheory.Iso.homproof · cited by 7,684
- Set.Elemstatement · cited by 7,166
- CategoryTheory.ConcreteCategory.homstatement and proof · cited by 4,022
- TopCat.carrierstatement and proof · cited by 3,184
- ContinuousMapstatement · cited by 2,491
Cited by1
Results whose statement or proof uses this declaration.
- SimplexCategory.toTopHomeo_naturality_applyproof · cited by 2