Theorems · Theorem · algebraic topology
SSet.mem_nonDegenerate_iff_notMem_degenerate
∀ (X : SSet) {n : ℕ} (x : X.obj (Opposite.op { len := n })), x ∈ X.nonDegenerate n ↔ x ∉ X.degenerate n- Cited by
- 2 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 and proof · cited by 19,642
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.nonDegeneratestatement · cited by 106
- SSet.degeneratestatement · cited by 29
Cited by2
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.mem_nonDegenerate_iffproof · cited by 4
- SSet.isIso_of_nonDegenerateproof · cited by 1