Theorems · Theorem · algebraic topology
Topology.CWComplex.closedCell_zero_eq_singleton
∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : Topology.RelCWComplex C D]
{j : Topology.RelCWComplex.cell C 0}, Topology.RelCWComplex.closedCell 0 j = {↑(Topology.RelCWComplex.map 0 j) ![]}Alias of Topology.RelCWComplex.closedCell_zero_eq_singleton.
- Cited by
- 2 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- TopologicalSpacestatement · cited by 24,529
- Matrix.vecEmptystatement · cited by 832
- PartialEquiv.toFunstatement · cited by 821
- Topology.RelCWComplexstatement · cited by 195
- Topology.RelCWComplex.cellstatement · cited by 194
- Topology.RelCWComplex.closedCellstatement · cited by 70
- Topology.RelCWComplex.mapstatement · cited by 44
- Topology.RelCWComplex.closedCell_zero_eq_singletonproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Topology.CWComplex.OneSkeletonGraph.exists_isLoopAt_iff_subsingletonproof · cited by 1
- Topology.CWComplex.OneSkeletonGraph.isLink_iff_pairproof · cited by 0