Theorems · Theorem · algebraic topology
SSet.degenerate_eq_top_of_hasDimensionLT
Deprecated since 2026-04-06Use SSet.degenerate_eq_univ_of_hasDimensionLT instead.
∀ (X : SSet) (d : ℕ) [X.HasDimensionLT d] (n : ℕ), autoParam (d ≤ n) SSet.degenerate_eq_univ_of_hasDimensionLT._auto_1 → X.degenerate n = Set.univ
Alias of SSet.degenerate_eq_univ_of_hasDimensionLT.
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- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SSet.HasDimensionLT
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Cites9
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
- Set.univstatement · cited by 3,945
- SimplexCategorystatement · cited by 2,204
- SSetstatement · cited by 1,283
- SSet.HasDimensionLTstatement · cited by 32
- SSet.degeneratestatement · cited by 29
- SSet.degenerate_eq_univ_of_hasDimensionLTproof · cited by 6
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