Theorems · Definition · algebraic topology
SSet.Subcomplex.toSSet
{X : SSet} → X.Subcomplex → SSetThe underlying simplicial set of a subcomplex.
- Cited by
- 315 results in Mathlib
- Foundations
- Depth 33 from the axioms, rests on 305 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- CategoryTheory.Subfunctor.toFunctorproof · cited by 90
Cited by422
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.ιstatement · cited by 136
- SSet.RelativeMorphism.mapstatement and proof · cited by 51
- SSet.RelativeMorphismstatement · cited by 39
- SSet.Subcomplex.toSSetFunctorproof · cited by 32
- SSet.stdSimplex.faceSingletonComplIsostatement · cited by 30
- SSet.Subcomplex.homOfLEstatement · cited by 22
- SSet.Subcomplex.Pairing.RankFunction.sigmaHornproof · cited by 18
- SSet.RelativeMorphism.Homotopy.hstatement and proof · cited by 16
- SSet.relativeCellComplexOfMonostatement and proof · cited by 14
- SSet.RelativeMorphism.Homotopystatement · cited by 14
- SSet.Subcomplex.Pairing.RankFunction.bstatement · cited by 13
- SSet.horn.ιstatement · cited by 13
Showing the 200 most cited of 422.