Theorems · Theorem · algebraic topology
Topology.CWComplex.iUnion_openCell_eq_complex
∀ {X : Type u_1} [t : TopologicalSpace X] {C : Set X} [inst : Topology.CWComplex C],
⋃ n, ⋃ j, Topology.RelCWComplex.openCell n j = C- Cited by
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- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
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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.iUnionstatement and proof · cited by 2,483
- Topology.RelCWComplex.cellstatement and proof · cited by 194
- Topology.RelCWComplex.openCellstatement and proof · cited by 75
- Set.empty_unionproof · cited by 52
- Topology.CWComplexstatement and proof · cited by 44
- Topology.RelCWComplex.union_iUnion_openCell_eq_complexproof · cited by 1
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