Theorems · Theorem · algebraic topology
Topology.CWComplex.OfDiscreteClosed_cell
∀ {X : Type u_1} [t : TopologicalSpace X] {D : Set X} (hD : IsDiscrete D) (Dc : IsClosed D) (n : ℕ),
Topology.CWComplex.cell D n =
match n with
| 0 => ↑D
| n.succ => PEmpty.{u_1 + 1}- Cited by
- 0 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Elemstatement · cited by 7,166
- IsClosedstatement and proof · cited by 1,639
- IsDiscretestatement and proof · cited by 86
- Topology.CWComplex.cellstatement and proof · cited by 13
- Topology.CWComplex.OfDiscreteClosedstatement · cited by 2
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