Theorems · Theorem · Lie groups
Filter.Tendsto.sdiv
∀ {V : Type u_1} {P : Type u_2} {α : Type u_3} [inst : Group V] [inst_1 : TopologicalSpace V] [inst_2 : Torsor V P]
[inst_3 : TopologicalSpace P] [IsTopologicalTorsor P] {l : Filter α} {f g : α → P} {x y : P},
Filter.Tendsto f l (nhds x) → Filter.Tendsto g l (nhds y) → Filter.Tendsto (f /ₛ g) l (nhds (x /ₛ y))- Defined in
- Mathlib.Topology.Algebra.Group.Torsor
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 71 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.
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement and proof · cited by 8,121
- Groupstatement and proof · cited by 6,238
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.Tendsto.compproof · cited by 560
- Continuous.tendstoproof · cited by 206
- SDiv.sdivstatement · cited by 79
- Torsorstatement and proof · cited by 65
- Filter.Tendsto.prodMk_nhdsproof · cited by 46
- IsTopologicalTorsorstatement and proof · cited by 11
- IsTopologicalTorsor.continuous_sdivproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- ContinuousWithinAt.sdivproof · cited by 1
- ContinuousAt.sdivproof · cited by 0