Theorems · Theorem · algebraic topology
Topology.RelCWComplex.Subcomplex.subset_complex
∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : Topology.RelCWComplex C D]
(E : Topology.RelCWComplex.Subcomplex C), ↑E ⊆ C- Cited by
- 3 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.
Cites13
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
- Set.Elemproof · cited by 7,166
- Set.iUnionproof · cited by 2,483
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.Subcomplexstatement and proof · cited by 110
- subset_rflproof · cited by 77
- Topology.RelCWComplex.openCellproof · cited by 75
- Topology.RelCWComplex.Subcomplex.Iproof · cited by 32
- Set.iUnion_monoproof · cited by 21
- Set.union_subset_union_rightproof · cited by 19
Cited by3
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.iUnion_skeletonLT_eq_complexproof · cited by 1
- Topology.RelCWComplex.iUnion_skeleton_eq_complexproof · cited by 1
- Topology.CWComplex.Subcomplex.subset_complexproof · cited by 0