Theorems · Theorem · Lie groups
IsCompact.add_closure_zero_eq_closure
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup G] {K : Set G},
IsCompact K → K + closure {0} = closure K- Defined in
- Mathlib.Topology.Algebra.Group.Pointwise
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
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
- add_zeroproof · cited by 2,707
- IsClosedproof · cited by 1,639
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- IsCompactstatement and proof · cited by 1,282
- closurestatement and proof · cited by 1,254
- Set.image_congrproof · cited by 533
- Set.addstatement · cited by 338
- subset_closureproof · cited by 309
- Set.Subset.antisymmproof · cited by 213
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