Theorems · Theorem · algebraic topology
SSet.stdSimplex.subcomplex_hasDimensionLT_of_neq_top
∀ {n : ℕ} (A : (SSet.stdSimplex.obj { len := n }).Subcomplex), A ≠ ⊤ → A.toSSet.HasDimensionLT n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Top.topstatement and proof · cited by 9,680
- Oppositestatement · cited by 8,081
- CategoryTheory.CategoryStruct.idproof · cited by 6,235
- Equiv.symmproof · cited by 3,681
- Set.extproof · cited by 2,266
- Opposite.unopproof · cited by 2,231
- SimplexCategorystatement · cited by 2,204
- le_antisymmproof · cited by 2,068
- SSetstatement · cited by 1,283
Cited by1
Results whose statement or proof uses this declaration.
- SSet.stdSimplex.le_boundary_iffproof · cited by 2