Theorems · Theorem · Lie groups
IsOpen.closure_add
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup G] {t : Set G},
IsOpen t → ∀ (s : Set G), closure s + t = s + t- Defined in
- Mathlib.Topology.Algebra.Group.Pointwise
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 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
- 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
- neg_negproof · cited by 960
- Set.addstatement · cited by 338
- neg_add_revproof · cited by 236
- IsOpen.negproof · cited by 5
- IsOpen.add_closureproof · cited by 3
- neg_closureproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsOpen.closure_subproof · cited by 0