Theorems · Definition · category theory
SimplexCategory.len
SimplexCategory → ℕ
The length of an object in SimplexCategory
- Cited by
- 542 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SimplexCategorystatement and proof · cited by 2,204
Cited by765
Results whose statement or proof uses this declaration.
- SimplexCategory.Truncatedproof · cited by 236
- SimplexCategory.Hom.toOrderHomstatement · cited by 111
- SSet.Truncated.Edgestatement · cited by 81
- CategoryTheory.nerveproof · cited by 68
- CategoryTheory.SimplicialObject.Splitting.summandproof · cited by 48
- SimplexCategory.conststatement and proof · cited by 47
- SimplexCategory.Truncated.δ₂statement and proof · cited by 46
- CategoryTheory.SimplicialObject.Splitting.cofanproof · cited by 46
- SimplexCategory.Truncated.Hom.trstatement and proof · cited by 43
- SimplexCategory.Hom.extstatement · cited by 40
- SSet.Truncated.HomotopyCategory.mkstatement · cited by 37
- SSet.truncationstatement · cited by 34
Showing the 200 most cited of 765.