Theorems · Definition · algebraic topology
SSet.Edge.CompStruct.idComp
{X : SSet} → {x₀ x₁ : X.obj (Opposite.op { len := 0 })} → (e : SSet.Edge x₀ x₁) → (SSet.Edge.id x₀).CompStruct e ee : Edge x₀ x₁ is a composition of Edge.id x₀ with e.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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.Edgestatement and proof · cited by 55
- SSet.Edge.CompStructstatement · cited by 25
- SSet.Edge.idstatement · cited by 24
- SSet.Truncated.Edge.CompStruct.idCompproof · cited by 10
- SSet.Edge.toTruncatedproof · cited by 5
- SSet.Edge.CompStruct.ofTruncatedproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- SSet.Edge.CompStruct.idComp_simplexstatement · cited by 0