Theorems · Definition · algebraic topology
SSet.N.orderIsoOfIso
{X Y : SSet} → (X ≅ Y) → X.N ≃o Y.NThe bijection X.N ≃ Y.N on nondegenerate simplices of simplicial sets
that is induced by an isomorphism X ≅ Y.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Oppositestatement · cited by 8,081
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- CategoryTheory.Isostatement and proof · cited by 3,963
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- OrderIsostatement · cited by 874
- SSet.N.toSproof · cited by 171
- SSet.S.dimproof · cited by 162
Cited by5
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.N.orderIsoOfIsoproof · cited by 8
- SSet.Subcomplex.N.orderIsoOfIso_applystatement · cited by 0
- SSet.Subcomplex.N.orderIsoOfIso_symm_applystatement · cited by 0
- SSet.N.orderIsoOfIso_applystatement and proof · cited by 0
- SSet.N.orderIsoOfIso_symm_applystatement and proof · cited by 0