Theorems · Theorem · algebraic topology
Topology.RelCWComplex.union_iUnion_openCell_eq_complex
∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : Topology.RelCWComplex C D],
D ∪ ⋃ n, ⋃ j, Topology.RelCWComplex.openCell n j = C- Cited by
- 1 results in Mathlib
- Foundations
- Depth 158 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
- Top.topproof · cited by 9,680
- Set.iUnionstatement and proof · cited by 2,483
- Set.iUnion_congr_Propproof · cited by 374
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.cellstatement and proof · cited by 194
- Topology.RelCWComplex.openCellstatement and proof · cited by 75
- Topology.RelCWComplex.closedCellproof · cited by 70
- Set.iUnion_trueproof · cited by 42
- Topology.RelCWComplex.unionproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Topology.CWComplex.iUnion_openCell_eq_complexproof · cited by 0