Theorems · Definition · algebraic topology
SSet.const
{X Y : SSet} → Y.obj (Opposite.op { len := 0 }) → (X ⟶ Y)The constant map of simplicial sets X ⟶ Y induced by a simplex y : Y _[0].
- Cited by
- 62 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functor.mapproof · cited by 8,698
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- Opposite.unopproof · cited by 2,231
- SimplexCategorystatement and proof · cited by 2,204
- Quiver.Hom.opproof · cited by 1,948
- SSetstatement and proof · cited by 1,283
- TypeCat.ofHomproof · cited by 389
- SimplexCategory.constproof · cited by 47
Cited by83
Results whose statement or proof uses this declaration.
- SSet.PtSimplexproof · cited by 41
- SSet.ι₀proof · cited by 18
- SSet.ι₁proof · cited by 18
- SSet.RelativeMorphism.constproof · cited by 7
- SSet.const_compstatement · cited by 4
- SSet.PtSimplex.relStructCastSuccEquivMulStructstatement · cited by 2
- SSet.PtSimplex.relStructSuccEquivMulStructstatement · cited by 2
- sSetTopAdj_homEquiv_stdSimplex_zerostatement and proof · cited by 2
- SSet.yonedaEquiv_symm_zerostatement and proof · cited by 2
- SSet.const_appstatement and proof · cited by 2
- SSet.PtSimplex.comp_map_eq_conststatement · cited by 2
- SSet.PtSimplex.δ_mapstatement · cited by 1