Theorems · Theorem · algebraic topology
SSet.Subcomplex.mem_nonDegenerate_iff
∀ {X : SSet} (A : X.Subcomplex) {n : ℕ} (x : ↑(A.obj (Opposite.op { len := n }))),
x ∈ A.toSSet.nonDegenerate n ↔ ↑x ∈ X.nonDegenerate n- Cited by
- 4 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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.Elemstatement and proof · cited by 7,166
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.toSSetstatement and proof · cited by 315
- CategoryTheory.Subfunctor.objstatement and proof · cited by 227
- SSet.nonDegeneratestatement and proof · cited by 106
- SSet.degenerateproof · cited by 29
- SSet.Subcomplex.mem_degenerate_iffproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.le_iff_contains_nonDegenerateproof · cited by 7
- SSet.stdSimplex.le_boundary_iffproof · cited by 2
- SSet.finite_iSup_iffproof · cited by 1
- SSet.Subcomplex.Pairing.RankFunction.isPushoutproof · cited by 0