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Theorems · Definition · category theory

SimplexCategoryGenRel

Type

SimplexCategory is the category presented by generators and relation by the simplicial identities.

Defined in
Mathlib.AlgebraicTopology.SimplexCategory.GeneratorsRelations.Basic
Cited by
39 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SimplexCategoryGenRel.mk · cited by 39SimplexCategoryGenRel.mkSimplexCategoryGenRel.σ · cited by 26SimplexCategoryGenRel.σSimplexCategoryGenRel.δ · cited by 20SimplexCategoryGenRel.δSimplexCategoryGenRel.standardσ · cited by 10SimplexCategoryGenRel.sta…SimplexCategoryGenRel.toSimplexCategory · cited by 7SimplexCategoryGenRel.toS…SimplexCategoryGenRel.len · cited by 6SimplexCategoryGenRel.lenSimplexCategoryGenRel.P_σ · cited by 5SimplexCategoryGenRel.P_σSimplexCategoryGenRel.faces · cited by 5SimplexCategoryGenRel.fac…SimplexCategoryGenRel.generators · cited by 5SimplexCategoryGenRel.gen…SimplexCategoryGenRel.faces.casesOn · cited by 5faces.casesOnSimplexCategoryGenRel.P_δ · cited by 5SimplexCategoryGenRel.P_δSimplexCategoryGenRel.degeneracies · cited by 4SimplexCategoryGenRel.deg…SimplexCategoryGenRel.degeneracies.casesOn · cited by 4degeneracies.casesOnSimplexCategoryGenRel.multiplicativeClosure_isGenerator_eq_top · cited by 2SimplexCategoryGenRel.mul…SimplexCategoryGenRel.standardσ_comp_standardσ · cited by 2SimplexCategoryGenRel.sta…CategoryTheory.Quotient · cited by 48CategoryTheory.QuotientFreeSimplexQuiver.homRel · cited by 7FreeSimplexQuiver.homRelSimplexCategoryGenRelCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by57

Results whose statement or proof uses this declaration.