Theorems · Theorem · algebraic topology
Topology.RelCWComplex.openCell_subset_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), Topology.RelCWComplex.openCell n i ⊆ Topology.RelCWComplex.closedCell n i- Cited by
- 8 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.
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.image_monoproof · cited by 197
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.cellstatement and proof · cited by 194
- Topology.RelCWComplex.openCellstatement · cited by 75
- Topology.RelCWComplex.closedCellstatement · cited by 70
- Metric.ball_subset_closedBallproof · cited by 46
Cited by8
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.closure_openCell_eq_closedCellproof · cited by 3
- Topology.RelCWComplex.map_zero_mem_closedCellproof · cited by 2
- Topology.RelCWComplex.openCell_subset_skeletonproof · cited by 2
- Topology.RelCWComplex.openCell_subset_skeletonLTproof · cited by 2
- Topology.RelCWComplex.Subcomplex.openCell_subset_of_memproof · cited by 1
- Topology.RelCWComplex.openCell_subset_complexproof · cited by 1
- Topology.RelCWComplex.Subcomplex.union_closedCellproof · cited by 1
- Topology.CWComplex.openCell_subset_closedCellproof · cited by 0