Theorems · Theorem · algebraic topology
SSet.stdSimplex.hasDimensionLT_face
∀ {n : ℕ} (S : Finset (Fin (n + 1))) (d : ℕ), S.card ≤ d → (SSet.stdSimplex.face S).toSSet.HasDimensionLT d- Cited by
- 0 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites19
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
- Finsetstatement and proof · cited by 13,712
- Oppositestatement · cited by 8,081
- Finset.cardstatement and proof · cited by 2,327
- SimplexCategorystatement · cited by 2,204
- SSetstatement · cited by 1,283
- SSet.stdSimplexstatement and proof · cited by 499
- SSet.Subcomplexproof · cited by 461
- SSet.Subcomplex.toSSetstatement and proof · cited by 315
- SSet.stdSimplex.facestatement · cited by 77
- Fintype.card_coeproof · cited by 72
- Finset.card_eq_zeroproof · cited by 34
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