Theorems · Definition · algebraic topology
SSet.Subcomplex.PairingCore.dim
{X : SSet} → {A : X.Subcomplex} → (self : A.PairingCore) → self.ι → ℕthe dimension of each type (II) simplex
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.PairingCorestatement and proof · cited by 50
- SSet.Subcomplex.PairingCore.ιstatement · cited by 42
Cited by31
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.PairingCore.simplexstatement · cited by 13
- SSet.Subcomplex.PairingCore.indexstatement · cited by 12
- SSet.Subcomplex.PairingCore.surjective'statement · cited by 1
- SSet.Subcomplex.PairingCore.type₁_ne_type₂'statement · cited by 1
- SSet.Subcomplex.PairingCore.type₁_simplexstatement · cited by 1
- SSet.Subcomplex.PairingCore.type₂_simplexstatement · cited by 1
- SSet.Subcomplex.PairingCore.WeakRankFunction.mk.injstatement and proof · cited by 1
- SSet.Subcomplex.PairingCore.WeakRankFunction.mk.noConfusionstatement and proof · cited by 1
- SSet.Subcomplex.PairingCore.injective_type₁'statement · cited by 1
- SSet.Subcomplex.PairingCore.injective_type₂'statement · cited by 1
- SSet.Subcomplex.PairingCore.isUniquelyCodimOneFace_indexproof · cited by 1
- SSet.Subcomplex.PairingCore.IsInner.casesOnstatement and proof · cited by 0