Theorems · Theorem · general topology
closure_sdiff
∀ {X : Type u} [inst : TopologicalSpace X] {s t : Set X}, closure s \ closure t ⊆ closure (s \ t)- Defined in
- Mathlib.Topology.Neighborhoods
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 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.
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
- Compl.complproof · cited by 2,925
- closurestatement and proof · cited by 1,254
- subset_closureproof · cited by 309
- Set.inter_commproof · cited by 291
- isClosed_closureproof · cited by 195
- closure_monoproof · cited by 133
- Set.Subset.reflproof · cited by 66
- isOpen_compl_iffproof · cited by 63
- Set.sdiff_eqproof · cited by 59
- Set.sdiff_subset_sdiffproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- closure_diffproof · cited by 0