Theorems · Definition · algebraic topology
SSet.relativeCellComplexCellsEquiv
{X : SSet} → X.relativeCellComplex.Cells ≃ X.NThe bijection between the cells of relativeCellComplex X and the type
X.N of nondegenerate simplices of the simplicial set X.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement · cited by 19,642
- Equivstatement · cited by 8,337
- Oppositestatement · cited by 8,081
- Bot.botstatement · cited by 4,720
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.stdSimplexstatement · cited by 499
- SSet.Subcomplexstatement · cited by 461
- SSet.Subcomplex.toSSetstatement · cited by 315
- SSet.N.toSproof · cited by 171
- SSet.S.dimproof · cited by 162
- SSet.boundarystatement · cited by 141
Cited by3
Results whose statement or proof uses this declaration.
- SSet.relativeCellComplexCellsEquiv_applystatement and proof · cited by 0
- SSet.relativeCellComplexCellsEquiv_symm_apply_jstatement and proof · cited by 0
- SSet.relativeCellComplexCellsEquiv_symm_apply_k_simplexstatement and proof · cited by 0