Theorems · Theorem · Lie groups
IsOpen.closure_mul
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : Group G] [IsTopologicalGroup G] {t : Set G},
IsOpen t → ∀ (s : Set G), closure s * t = s * t- Defined in
- Mathlib.Topology.Algebra.Group.Pointwise
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- closurestatement and proof · cited by 1,254
- inv_invproof · cited by 494
- IsTopologicalGroupstatement and proof · cited by 469
- Set.mulstatement · cited by 297
- mul_inv_revproof · cited by 270
- IsOpen.invproof · cited by 4
- IsOpen.mul_closureproof · cited by 2
- inv_closureproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsOpen.closure_divproof · cited by 0