Theorems · Theorem · algebraic topology
Topology.RelCWComplex.coe_skeletonLT
∀ {X : Type u_1} [t : TopologicalSpace X] [inst : T2Space X] (C : Set X) {D : Set X}
[inst_1 : Topology.RelCWComplex C D] (n : ℕ∞),
↑(Topology.RelCWComplex.skeletonLT C n) = D ∪ ⋃ m, ⋃ (_ : ↑m < n), ⋃ j, Topology.RelCWComplex.closedCell m j- Cited by
- 8 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- SetLike.coestatement and proof · cited by 8,199
- ENatstatement and proof · cited by 4,985
- Set.iUnionstatement · cited by 2,483
- T2Spacestatement and proof · cited by 1,351
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.cellstatement · cited by 194
- Topology.RelCWComplex.Subcomplexstatement · cited by 110
- Topology.RelCWComplex.closedCellstatement · cited by 70
- Topology.RelCWComplex.skeletonLTstatement and proof · cited by 34
Cited by8
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.skeletonLT_monoproof · cited by 4
- Topology.RelCWComplex.cellFrontier_subset_skeletonLTproof · cited by 3
- Topology.RelCWComplex.closedCell_subset_skeletonLTproof · cited by 3
- Topology.RelCWComplex.skeletonLT_topproof · cited by 2
- Topology.RelCWComplex.iUnion_openCell_eq_skeletonLTproof · cited by 2
- Topology.RelCWComplex.skeletonLT_zero_eq_baseproof · cited by 1
- Topology.CWComplex.coe_skeletonLTproof · cited by 0