Theorems · Theorem · algebraic topology
Topology.RelCWComplex.Subcomplex.base_subset
∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : Topology.RelCWComplex C D]
(E : Topology.RelCWComplex.Subcomplex C), D ⊆ ↑E- Cited by
- 5 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Topology.RelCWComplexstatement and proof · cited by 195
- Set.subset_union_leftproof · cited by 142
- Topology.RelCWComplex.Subcomplexstatement and proof · cited by 110
Cited by5
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.disjoint_interior_base_closedCellproof · cited by 1
- Topology.RelCWComplex.iUnion_skeletonLT_eq_complexproof · cited by 1
- Topology.RelCWComplex.iUnion_skeleton_eq_complexproof · cited by 1
- Topology.RelCWComplex.Subcomplex.union_closedCellproof · cited by 1
- Topology.CWComplex.Subcomplex.base_subsetproof · cited by 0