Theorems · Theorem · algebraic topology
SSet.skeletonOfMono_succ
∀ {X Y : SSet} (i : X ⟶ Y) (n : ℕ),
(SSet.skeletonOfMono i) (n + 1) =
(SSet.skeletonOfMono i) n ⊔
⨆ x, ⨆ (_ : ↑x ∉ (SSet.Subcomplex.range i).obj (Opposite.op { len := n })), SSet.Subcomplex.ofSimplex ↑x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
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.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- Oppositestatement · cited by 8,081
- Set.Elemstatement and proof · cited by 7,166
- LE.le.transproof · cited by 3,151
- iSupstatement and proof · cited by 2,415
- SimplexCategorystatement · cited by 2,204
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- SSetstatement and proof · cited by 1,283
Cited by1
Results whose statement or proof uses this declaration.
- SSet.relativeCellComplexOfMono.sup_range_r_range_bproof · cited by 1