Theorems · Theorem · Lie groups
IsOpen.rightCoset
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : Group G] [SeparatelyContinuousMul G] {U : Set G},
IsOpen U → ∀ (x : G), IsOpen (MulOpposite.op x • U)- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- Groupstatement and proof · cited by 6,238
- IsOpenstatement and proof · cited by 2,400
- MulOppositestatement · cited by 1,135
- Set.smulSetstatement · cited by 608
- MulOpposite.opstatement · cited by 520
- SeparatelyContinuousMulstatement and proof · cited by 133
- isOpenMap_mul_rightproof · cited by 3
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