Theorems · Theorem · Lie groups
IsOpen.sub_closure
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup G] {s : Set G},
IsOpen s → ∀ (t : Set G), s - closure t = s - t- Defined in
- Mathlib.Topology.Algebra.Group.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- AddGroupstatement and proof · cited by 4,410
- IsOpenstatement and proof · cited by 2,400
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- closurestatement and proof · cited by 1,254
- sub_eq_add_negproof · cited by 1,023
- Set.substatement · cited by 136
- IsOpen.add_closureproof · cited by 3
- neg_closureproof · cited by 2
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