Theorems · Theorem · algebraic topology
Topology.RelCWComplex.disjoint_openCell_of_ne
∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : Topology.RelCWComplex C D] {n m : ℕ}
{i : Topology.RelCWComplex.cell C n} {j : Topology.RelCWComplex.cell C m},
⟨n, i⟩ ≠ ⟨m, j⟩ → Disjoint (Topology.RelCWComplex.openCell n i) (Topology.RelCWComplex.openCell m j)- Cited by
- 6 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Disjointstatement · cited by 2,201
- Set.mem_univproof · cited by 416
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.cellstatement and proof · cited by 194
- Topology.RelCWComplex.openCellstatement · cited by 75
- Topology.RelCWComplex.pairwiseDisjointproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.injective_map_zeroproof · cited by 5
- Topology.RelCWComplex.disjoint_skeletonLT_openCellproof · cited by 4
- Topology.RelCWComplex.Subcomplex.disjoint_openCell_subcomplex_of_not_memproof · cited by 1
- Topology.RelCWComplex.eq_of_not_disjoint_openCellproof · cited by 1
- Topology.RelCWComplex.openCell_congrproof · cited by 0
- Topology.CWComplex.disjoint_openCell_of_neproof · cited by 0