Theorems · Theorem · algebraic topology
Topology.RelCWComplex.cellFrontier_subset_base_union_finite_closedCell
∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : Topology.RelCWComplex C D] (n : ℕ)
(i : Topology.RelCWComplex.cell C n),
∃ I, Topology.RelCWComplex.cellFrontier n i ⊆ D ∪ ⋃ m, ⋃ (_ : m < n), ⋃ j ∈ I m, Topology.RelCWComplex.closedCell m j- Cited by
- 3 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Finsetstatement and proof · cited by 13,712
- Set.imageproof · cited by 5,609
- Set.iUnionstatement and proof · cited by 2,483
- PartialEquiv.toFunproof · cited by 821
- Set.MapsToproof · cited by 732
- Metric.closedBallproof · cited by 704
- Metric.sphereproof · cited by 371
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.cellstatement and proof · cited by 194
- Topology.RelCWComplex.closedCellstatement · cited by 70
Cited by3
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.cellFrontier_subset_skeletonLTproof · cited by 3
- Topology.RelCWComplex.cellFrontier_subset_finite_openCellproof · cited by 1