Theorems · Theorem · algebraic topology
Topology.RelCWComplex.closedCell_subset_complex
∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : Topology.RelCWComplex C D] (n : ℕ)
(j : Topology.RelCWComplex.cell C n), Topology.RelCWComplex.closedCell n j ⊆ C- Cited by
- 4 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.cellstatement and proof · cited by 194
- Topology.RelCWComplex.closedCellstatement and proof · cited by 70
- Set.subset_iUnion₂proof · cited by 13
- Set.subset_union_of_subset_rightproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.isClosedproof · cited by 1
- Topology.RelCWComplex.cellFrontier_subset_complexproof · cited by 1
- Topology.RelCWComplex.openCell_subset_complexproof · cited by 1
- Topology.CWComplex.closedCell_subset_complexproof · cited by 0