Theorems · Theorem · algebraic topology
SSet.finite_of_hasDimensionLT
∀ (X : SSet) (d : ℕ) [X.HasDimensionLT d], (∀ i < d, Finite ↑(X.nonDegenerate i)) → X.Finite
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement · cited by 19,642
- Oppositestatement · cited by 8,081
- Set.Elemstatement and proof · cited by 7,166
- Finitestatement and proof · cited by 3,029
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.N.toSproof · cited by 171
- SSet.S.dimproof · cited by 162
- SSet.S.simplexproof · cited by 111
- SSet.nonDegeneratestatement and proof · cited by 106
- SSet.Nproof · cited by 70
- SSet.HasDimensionLTstatement and proof · cited by 32
Cited by2
Results whose statement or proof uses this declaration.
- SSet.finite_of_monoproof · cited by 3
- SSet.finite_of_epiproof · cited by 0