Theorems · Theorem · algebraic topology
SSet.stdSimplex.le_boundary_iff
∀ {n : ℕ} (A : (SSet.stdSimplex.obj { len := n }).Subcomplex), A ≤ SSet.boundary n ↔ A ≠ ⊤- Cited by
- 2 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Top.topstatement and proof · cited by 9,680
- Oppositestatement · cited by 8,081
- Set.Elemproof · cited by 7,166
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.stdSimplexstatement and proof · cited by 499
- SSet.Subcomplexstatement and proof · cited by 461
- lt_of_le_of_ltproof · cited by 432
- SSet.Subcomplex.toSSetproof · cited by 315
- CategoryTheory.Subfunctor.objproof · cited by 227
- lt_irreflproof · cited by 190
Cited by2
Results whose statement or proof uses this declaration.
- SSet.PtSimplex.comp_map_eq_constproof · cited by 2
- SSet.stdSimplex.eq_boundary_iffproof · cited by 1