Theorems · Theorem · algebraic topology
SSet.stdSimplex.eq_boundary_iff
∀ {n : ℕ} (A : (SSet.stdSimplex.obj { len := n }).Subcomplex), A = SSet.boundary n ↔ SSet.boundary n ≤ A ∧ A ≠ ⊤- Cited by
- 1 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- SimplexCategorystatement · cited by 2,204
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- SSetstatement · cited by 1,283
- LT.lt.neproof · cited by 872
- SSet.stdSimplexstatement and proof · cited by 499
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.boundarystatement and proof · cited by 141
- SSet.boundary_lt_topproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- SSet.relativeCellComplexOfMono.Cell.preimage_mapproof · cited by 1