Theorems · Theorem · Lie groups
IsClosed.right_addCoset
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [SeparatelyContinuousAdd G] {U : Set G},
IsClosed U → ∀ (x : G), IsClosed (AddOpposite.op x +ᵥ U)- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 78 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
- HVAdd.hVAddstatement · cited by 1,820
- IsClosedstatement and proof · cited by 1,639
- AddOppositestatement · cited by 452
- Set.vaddSetstatement · cited by 403
- AddOpposite.opstatement · cited by 192
- SeparatelyContinuousAddstatement and proof · cited by 83
- isClosedMap_add_rightproof · cited by 2
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