Theorems · Inductive type · category theory
FreeSimplexQuiver.homRel
HomRel (CategoryTheory.Paths FreeSimplexQuiver)
FreeSimplexQuiver.homRel is the relation on morphisms freely generated on the
five simplicial identities.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
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.
- CategoryTheory.Pathsstatement · cited by 82
- HomRelstatement · cited by 49
- FreeSimplexQuiverstatement · cited by 2
Cited by13
Results whose statement or proof uses this declaration.
- SimplexCategoryGenRelproof · cited by 39
- SimplexCategoryGenRel.σproof · cited by 26
- SimplexCategoryGenRel.δproof · cited by 20
- SimplexCategoryGenRel.toSimplexCategoryproof · cited by 7
- SimplexCategoryGenRel.σ_comp_σproof · cited by 2
- SimplexCategoryGenRel.δ_comp_δproof · cited by 2
- SimplexCategoryGenRel.multiplicativeClosure_isGenerator_eq_topproof · cited by 2
- SimplexCategoryGenRel.δ_comp_σ_succproof · cited by 1
- SimplexCategoryGenRel.δ_comp_σ_of_gtproof · cited by 1
- SimplexCategoryGenRel.δ_comp_σ_of_leproof · cited by 1
- SimplexCategoryGenRel.δ_comp_σ_selfproof · cited by 1
- FreeSimplexQuiver.homRel.casesOnstatement and proof · cited by 0