Theorems · Theorem · algebraic topology
SSet.Subcomplex.hasDimensionLT_of_le
∀ {X : SSet} {A B : X.Subcomplex}, A ≤ B → ∀ (d : ℕ) [B.toSSet.HasDimensionLT d], A.toSSet.HasDimensionLT d- Cited by
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- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SSet.HasDimensionLT
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.toSSetstatement and proof · cited by 315
- SSet.HasDimensionLTstatement and proof · cited by 32
- SSet.Subcomplex.homOfLEproof · cited by 22
- SSet.hasDimensionLT_of_monoproof · cited by 2
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