Theorems · Theorem · Lie groups
topologicalClosure_addSubgroupClosure_toAddSubmonoid
∀ {G : Type u_1} [inst : AddGroup G] [inst_1 : TopologicalSpace G] [CompactSpace G] [inst_3 : IsTopologicalAddGroup G]
(s : Set G), (AddSubgroup.closure s).topologicalClosure = (AddSubmonoid.closure s).topologicalClosure- Cited by
- 1 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
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
- LE.le.transproof · cited by 3,151
- le_antisymmproof · cited by 2,068
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- closureproof · cited by 1,254
- AddSubmonoidstatement and proof · cited by 1,178
- CompactSpacestatement and proof · cited by 593
- subset_closureproof · cited by 309
- SetLike.mem_coeproof · cited by 302
- AddSubmonoid.closurestatement and proof · cited by 224
Cited by1
Results whose statement or proof uses this declaration.
- closure_addSubmonoidClosure_eq_closure_addSubgroupClosureproof · cited by 1