Theorems · Theorem · algebraic topology
SSet.nonDegenerate_eq_bot_of_hasDimensionLT
Deprecated since 2026-04-06Use SSet.nonDegenerate_eq_empty_of_hasDimensionLT instead.
∀ (X : SSet) (d : ℕ) [X.HasDimensionLT d] (n : ℕ), autoParam (d ≤ n) SSet.nonDegenerate_eq_empty_of_hasDimensionLT._auto_1 → X.nonDegenerate n = ∅
Alias of SSet.nonDegenerate_eq_empty_of_hasDimensionLT.
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- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SSet.HasDimensionLT
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CategoryTheory.Functor.objstatement · cited by 19,642
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement · cited by 1,283
- SSet.nonDegeneratestatement · cited by 106
- SSet.HasDimensionLTstatement · cited by 32
- SSet.nonDegenerate_eq_empty_of_hasDimensionLTproof · cited by 4
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