Theorems · Theorem · general topology
dense_coborder
∀ {X : Type u_1} [inst : TopologicalSpace X] {s : Set X}, Dense (coborder s)The coborder of any set is dense
- Defined in
- Mathlib.Topology.LocallyClosed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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.univproof · cited by 3,945
- closureproof · cited by 1,254
- Densestatement · cited by 359
- subset_closureproof · cited by 309
- subset_transproof · cited by 63
- Set.union_compl_selfproof · cited by 57
- Set.univ_subset_iffproof · cited by 49
- dense_iff_closure_eqproof · cited by 26
- coborderstatement · cited by 22
- Set.union_subset_union_rightproof · cited by 19
Cited by1
Results whose statement or proof uses this declaration.
- coborder_mem_residualproof · cited by 1