Theorems · Theorem · algebraic topology
SSet.face_le_horn_iff
∀ {n : ℕ} (S : Finset (Fin (n + 2))) (j : Fin (n + 2)),
SSet.stdSimplex.face S ≤ SSet.horn (n + 1) j ↔ S ≠ Finset.univ ∧ S ≠ {j}ᶜ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement · cited by 19,642
- Finsetstatement and proof · cited by 13,712
- Oppositestatement · cited by 8,081
- Finset.univstatement and proof · cited by 3,473
- Compl.complstatement and proof · cited by 2,925
- SimplexCategorystatement · cited by 2,204
- SSetstatement · cited by 1,283
- SSet.stdSimplexstatement · cited by 499
- SSet.Subcomplexstatement · cited by 461
- compl_complproof · cited by 229
- SSet.hornstatement · cited by 162
- not_iff_notproof · cited by 159
Cited by1
Results whose statement or proof uses this declaration.
- SSet.objEquiv_symm_δ_mem_horn_iffproof · cited by 1