Theorems · Theorem · algebraic topology
SSet.stdSimplex.mem_nonDegenerate_iff_mono
∀ {n d : ℕ} (s : (SSet.stdSimplex.obj { len := n }).obj (Opposite.op { len := d })),
s ∈ (SSet.stdSimplex.obj { len := n }).nonDegenerate d ↔ CategoryTheory.Mono (SSet.stdSimplex.objEquiv s)- Cited by
- 3 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.
Cites22
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 · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Equivstatement · cited by 8,337
- Oppositestatement · cited by 8,081
- Opposite.unopstatement · cited by 2,231
- SimplexCategorystatement · cited by 2,204
- SSetstatement · cited by 1,283
- CategoryTheory.Monostatement and proof · cited by 893
- StrictMonoproof · cited by 706
- SSet.stdSimplexstatement and proof · cited by 499
Cited by3
Results whose statement or proof uses this declaration.
- SSet.stdSimplex.nonDegenerate_top_dimproof · cited by 1
- SSet.Subcomplex.Pairing.RankFunction.exists_or_of_range_m_Nproof · cited by 0
- SSet.nonDegenerate_δproof · cited by 0