Theorems · Theorem · algebraic topology
Topology.RelCWComplex.Subcomplex.openCell_subset_of_mem
∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [T2Space X] [inst : Topology.RelCWComplex C D]
(E : Topology.RelCWComplex.Subcomplex C) {n : ℕ} {i : Topology.RelCWComplex.cell C n},
i ∈ E.I n → Topology.RelCWComplex.openCell n i ⊆ ↑E- Cited by
- 1 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- SetLike.coestatement · cited by 8,199
- LE.le.transproof · cited by 3,151
- T2Spacestatement and proof · cited by 1,351
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.cellstatement and proof · cited by 194
- Topology.RelCWComplex.Subcomplexstatement and proof · cited by 110
- Topology.RelCWComplex.openCellstatement · cited by 75
- Topology.RelCWComplex.Subcomplex.Istatement and proof · cited by 32
- Topology.RelCWComplex.openCell_subset_closedCellproof · cited by 8
- Topology.RelCWComplex.Subcomplex.closedCell_subset_of_memproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Topology.CWComplex.Subcomplex.openCell_subset_of_memproof · cited by 0