Theorems · Theorem · algebraic topology
Topology.RelCWComplex.openCell_zero_injective
∀ {X : Type u_1} [t : TopologicalSpace X] {D : Set X} (C : Set X) [inst : Topology.RelCWComplex C D],
Function.Injective (Topology.RelCWComplex.openCell 0)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Matrix.vecEmptyproof · cited by 832
- PartialEquiv.toFunproof · cited by 821
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.cellstatement and proof · cited by 194
- Topology.RelCWComplex.openCellstatement and proof · cited by 75
- Topology.RelCWComplex.mapproof · cited by 44
- Set.singleton_eq_singleton_iffproof · cited by 13
- Topology.RelCWComplex.injective_map_zeroproof · cited by 5
- Topology.RelCWComplex.openCell_zero_eq_singletonproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Topology.CWComplex.openCell_zero_injectiveproof · cited by 0