Theorems · Theorem · algebraic topology
Topology.RelCWComplex.FiniteType.finite_cell
∀ {X : Type u} {inst : TopologicalSpace X} {C D : Set X} {inst_1 : Topology.RelCWComplex C D}
[self : Topology.RelCWComplex.FiniteType C] (n : ℕ), Finite (Topology.RelCWComplex.cell C n)cell C n is finite for every n.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Finitestatement · cited by 3,029
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.cellstatement · cited by 194
- Topology.RelCWComplex.FiniteTypestatement and proof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.finite_cells_of_finiteproof · cited by 2
- Topology.CWComplex.FiniteType.finite_cellproof · cited by 0