Theorems · Theorem · algebraic topology
Topology.RelCWComplex.openCell_nonempty
∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : Topology.RelCWComplex C D] (n : ℕ)
(j : Topology.RelCWComplex.cell C n), (Topology.RelCWComplex.openCell n j).Nonempty- Cited by
- 1 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.
Cites9
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
- Set.Nonemptystatement · cited by 2,627
- PartialEquiv.toFunproof · cited by 821
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.cellstatement and proof · cited by 194
- Topology.RelCWComplex.openCellstatement · cited by 75
- Topology.RelCWComplex.mapproof · cited by 44
- Topology.RelCWComplex.map_zero_mem_openCellproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.openCell_congrproof · cited by 0