Theorems · Definition · algebraic topology
SSet.Edge.InvStruct.inv
{X : SSet} → {x₀ x₁ : X.obj (Opposite.op { len := 0 })} → {hom : SSet.Edge x₀ x₁} → hom.InvStruct → SSet.Edge x₁ x₀The backwards edge
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.InvStructstatement and proof · cited by 14
Cited by18
Results whose statement or proof uses this declaration.
- SSet.Edge.InvStruct.homInvIdstatement · cited by 8
- SSet.Edge.InvStruct.invHomIdstatement · cited by 8
- SSet.Edge.InvStruct.invStructInvstatement · cited by 3
- SSet.Edge.InvStruct.mapproof · cited by 3
- SSet.Edge.InvStruct.ofEqproof · cited by 3
- SSet.Edge.InvStruct.extstatement and proof · cited by 1
- SSet.Edge.InvStruct.ext_iffstatement and proof · cited by 0
- SSet.Edge.InvStruct.invStructId_invstatement and proof · cited by 0
- SSet.coherentIso.invStructHom_invstatement and proof · cited by 0
- SSet.Edge.InvStruct.invStructInv_homInvIdstatement · cited by 0
- SSet.Edge.InvStruct.invStructInv_invstatement and proof · cited by 0
- SSet.Edge.InvStruct.invStructInv_invHomIdstatement · cited by 0