Theorems · Theorem · general topology
closure_sdiff_interior
∀ {X : Type u} [inst : TopologicalSpace X] (s : Set X), closure s \ interior s = frontier s- Defined in
- Mathlib.Topology.Closure
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- closurestatement · cited by 1,254
- interiorstatement · cited by 714
- frontierstatement · cited by 214
Cited by5
Results whose statement or proof uses this declaration.
- disjoint_interior_frontierproof · cited by 2
- ModelWithCorners.isInteriorPoint_or_isBoundaryPointproof · cited by 2
- frontier_eq_inter_compl_interiorproof · cited by 1
- closure_diff_interiorproof · cited by 0
- IsAntichain.volume_eq_zeroproof · cited by 0