Theorems · Definition · algebraic topology
SSet.opFunctorCompOpFunctorIso
SSet.opFunctor.comp SSet.opFunctor ≅ CategoryTheory.Functor.id SSet
The functor opFunctor : SSet ⥤ SSet is an involution.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 41 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.
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.Functor.idstatement · cited by 3,333
- SimplexCategorystatement and proof · cited by 2,204
- SSetstatement and proof · cited by 1,283
- Equiv.transproof · cited by 337
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
- Equiv.toIsoproof · cited by 58
- SSet.opObjEquivproof · cited by 26
- SSet.opFunctorstatement · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- SSet.opEquivalenceproof · cited by 4
- SSet.opEquivalence_unitIsostatement · cited by 0
- SSet.opFunctorCompOpFunctorIso_hom_app_app_hom_applystatement and proof · cited by 0
- SSet.opFunctorCompOpFunctorIso_inv_app_app_hom_applystatement and proof · cited by 0
- SSet.opEquivalence_counitIsostatement · cited by 0