Theorems · Theorem · algebraic topology
SSet.stdSimplex.face_singleton_compl
∀ {n : ℕ} (i : Fin (n + 2)),
SSet.stdSimplex.face {i}ᶜ = SSet.Subcomplex.ofSimplex (SSet.stdSimplex.objEquiv.symm (SimplexCategory.δ i))- Cited by
- 6 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- Finsetstatement · cited by 13,712
- Equivstatement · cited by 8,337
- Oppositestatement · cited by 8,081
- Equiv.symmstatement · cited by 3,681
- Compl.complstatement and proof · cited by 2,925
- Opposite.unopstatement · cited by 2,231
- SimplexCategorystatement · cited by 2,204
- SSetstatement · cited by 1,283
- SSet.stdSimplexstatement · cited by 499
Cited by6
Results whose statement or proof uses this declaration.
- SSet.subcomplex_le_horn_iffproof · cited by 2
- SSet.Subcomplex.Pairing.RankFunction.Cell.subcomplex_not_le_image_hornproof · cited by 2
- SSet.Subcomplex.Pairing.RankFunction.Cell.image_face_index_complproof · cited by 1
- SSet.objEquiv_symm_δ_mem_horn_iffproof · cited by 1
- SSet.boundary_obj_eq_univproof · cited by 1
- SSet.boundary.hom_extproof · cited by 0