Theorems · Theorem · algebraic topology
Topology.RelCWComplex.eq_of_eq_union_iUnion
∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : Topology.RelCWComplex C D]
(I J : (n : ℕ) → Set (Topology.RelCWComplex.cell C n)),
D ∪ ⋃ n, ⋃ j, Topology.RelCWComplex.openCell n ↑j = D ∪ ⋃ n, ⋃ j, Topology.RelCWComplex.openCell n ↑j → I = J- Cited by
- 1 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 and proof · cited by 7,166
- Set.iUnionstatement and proof · cited by 2,483
- Set.extproof · cited by 2,266
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.cellstatement and proof · cited by 194
- Topology.RelCWComplex.openCellstatement and proof · cited by 75
Cited by1
Results whose statement or proof uses this declaration.
- Topology.CWComplex.eq_of_eq_union_iUnionproof · cited by 0