Theorems · Theorem · algebraic topology
Topology.RelCWComplex.cellFrontier_zero_eq_empty
∀ {X : Type u_1} [t : TopologicalSpace X] {C D : Set X} [inst : Topology.RelCWComplex C D]
{j : Topology.RelCWComplex.cell C 0}, Topology.RelCWComplex.cellFrontier 0 j = ∅- Cited by
- 2 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.
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
- Set.imageproof · cited by 5,609
- PartialEquiv.toFunproof · cited by 821
- Metric.sphereproof · cited by 371
- Topology.RelCWComplexstatement and proof · cited by 195
- Topology.RelCWComplex.cellstatement and proof · cited by 194
- Set.image_emptyproof · cited by 73
- Topology.RelCWComplex.cellFrontierstatement · cited by 45
- Topology.RelCWComplex.mapproof · cited by 44
- Matrix.zero_emptyproof · cited by 34
- Metric.sphere_eq_empty_of_subsingletonproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Topology.RelCWComplex.cellFrontier_subset_finite_openCellproof · cited by 1
- Topology.CWComplex.cellFrontier_zero_eq_emptyproof · cited by 0