Theorems · Theorem · Lie groups
IsOpen.div_right
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : Group G] [IsTopologicalGroup G] {s t : Set G},
IsOpen s → IsOpen (s / t)- Defined in
- Mathlib.Topology.Algebra.Group.Pointwise
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- IsTopologicalGroupstatement and proof · cited by 469
- Set.divstatement · cited by 112
- isOpen_biUnionproof · cited by 35
- Set.iUnion_div_right_imageproof · cited by 1
- isOpenMap_div_rightproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- subset_interior_div_leftproof · cited by 1