Theorems · Theorem · algebraic topology
SSet.Subcomplex.N.notMem
∀ {X : SSet} {A : X.Subcomplex} (self : A.N), self.simplex ∉ A.obj (Opposite.op { len := self.dim })- Cited by
- 7 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.
Cites12
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
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- CategoryTheory.Subfunctor.objstatement · cited by 227
- SSet.N.toSstatement · cited by 171
- SSet.S.dimstatement · cited by 162
- SSet.Subcomplex.Nstatement and proof · cited by 155
- SSet.Subcomplex.N.toNstatement · cited by 126
- SSet.S.simplexstatement · cited by 111
Cited by8
Results whose statement or proof uses this declaration.
- SSet.Subcomplex.N.opEquivproof · cited by 6
- SSet.prodStdSimplex.pairingCore.mem_range_leftproof · cited by 1
- SSet.Subcomplex.N.mk_surjectiveproof · cited by 1
- SSet.Subcomplex.Pairing.RankFunction.Cell.subcomplex_not_le_filtrationproof · cited by 1
- SSet.prodStdSimplex.pairingCore.IsType₂.notMem_simplexproof · cited by 1
- SSet.prodStdSimplex.pairingCore.mem_range_rightproof · cited by 0
- SSet.Subcomplex.N.mk'_surjectiveproof · cited by 0
- SSet.Subcomplex.N.opEquiv_symm_applystatement · cited by 0