Theorems · Theorem · algebraic topology
SSet.hasDimensionLT_of_finite
∀ (X : SSet) [X.Finite], ∃ d, X.HasDimensionLT d
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SSet.Finite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- Top.topproof · cited by 9,680
- Fintypeproof · cited by 7,736
- Set.extproof · cited by 2,266
- SSetstatement and proof · cited by 1,283
- Finset.Nonemptyproof · cited by 1,001
- Finset.imageproof · cited by 910
- WithBot.someproof · cited by 541
- Fintype.ofFiniteproof · cited by 255
- SSet.N.toSproof · cited by 171
- SSet.S.dimproof · cited by 162
- SSet.nonDegenerateproof · cited by 106
Cited by2
Results whose statement or proof uses this declaration.
- SSet.finite_of_monoproof · cited by 3
- SSet.finite_of_epiproof · cited by 0