Theorems · Definition · algebraic topology
SSet.PtSimplex.MulStruct.map
{X : SSet} →
{n : ℕ} →
{x : X.obj (Opposite.op { len := 0 })} →
{f g fg : X.PtSimplex n x} → {i : Fin n} → f.MulStruct g fg i → (SSet.stdSimplex.obj { len := n + 1 } ⟶ X)A n + 1-simplex
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.stdSimplexstatement · cited by 499
- SSet.PtSimplexstatement and proof · cited by 41
- SSet.PtSimplex.MulStructstatement and proof · cited by 19
Cited by22
Results whose statement or proof uses this declaration.
- SSet.PtSimplex.relStructCastSuccEquivMulStructproof · cited by 2
- SSet.PtSimplex.relStructSuccEquivMulStructproof · cited by 2
- SSet.PtSimplex.MulStruct.opproof · cited by 1
- SSet.PtSimplex.MulStruct.δ_castSucc_castSucc_mapstatement · cited by 1
- SSet.PtSimplex.MulStruct.δ_map_of_gtstatement · cited by 1
- SSet.PtSimplex.MulStruct.δ_map_of_ltstatement · cited by 1
- SSet.PtSimplex.MulStruct.δ_succ_castSucc_mapstatement · cited by 1
- SSet.PtSimplex.MulStruct.δ_succ_succ_mapstatement · cited by 1
- SSet.PtSimplex.MulStruct.unopproof · cited by 1
- SSet.PtSimplex.MulStruct.oneMul_mapstatement and proof · cited by 0
- SSet.PtSimplex.MulStruct.op_mapstatement and proof · cited by 0
- SSet.PtSimplex.relStructCastSuccEquivMulStruct_apply_mapstatement and proof · cited by 0