Theorems · Theorem · algebraic topology
SSet.mem_skeleton_obj_iff_of_nonDegenerate
∀ (X : SSet) {d : ℕ} (x : ↑(X.nonDegenerate d)) (n : ℕ), ↑x ∈ (X.skeleton n).obj (Opposite.op { len := d }) ↔ d < n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functor.mapproof · cited by 8,698
- Oppositestatement · cited by 8,081
- Set.Elemstatement and proof · cited by 7,166
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- Set.iUnionproof · cited by 2,483
- iSupproof · cited by 2,415
- Opposite.unopproof · cited by 2,231
- SimplexCategorystatement · cited by 2,204
Cited by1
Results whose statement or proof uses this declaration.
- SSet.relativeCellComplexOfMono.Cell.mem_skeletonOfMono_obj_iffproof · cited by 0