Theorems · Theorem · algebraic topology

Topology.CWComplex.eq_of_eq_union_iUnion

∀ {X : Type u_1} [t : TopologicalSpace X] {C : Set X} [inst : Topology.CWComplex C]
  (I J : (n : ℕ) → Set (Topology.RelCWComplex.cell C n)),
  ⋃ n, ⋃ j, Topology.RelCWComplex.openCell n ↑j = ⋃ n, ⋃ j, Topology.RelCWComplex.openCell n ↑j → I = J

Defined in: Mathlib.Topology.CWComplex.Classical.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace Topology.CWComplex

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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
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.eq_of_eq_union_iUnionproof · cited by 1

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