Theorems · Theorem · algebraic topology
SSet.degenerate_eq_univ_of_hasDimensionLT
∀ (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
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SSet.HasDimensionLT
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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 and proof · cited by 1,283
- SSet.HasDimensionLTstatement and proof · cited by 32
- SSet.degeneratestatement · cited by 29
- SSet.HasDimensionLT.degenerate_eq_topproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- SSet.nonDegenerate_eq_empty_of_hasDimensionLTproof · cited by 4
- SSet.hasDimensionLT_of_leproof · cited by 2
- SSet.hasDimensionLT_of_monoproof · cited by 2
- SSet.hasDimensionLT_of_epiproof · cited by 2
- SSet.stdSimplex.subcomplex_hasDimensionLT_of_neq_topproof · cited by 1
- SSet.degenerate_eq_top_of_hasDimensionLTproof · cited by 0