Theorems · Theorem · Lie groups
Filter.tendsto_sub_const_iff
∀ {α : Type u} {G : Type u_1} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [ContinuousSub G] (b : G) {c : G}
{f : α → G} {l : Filter α}, Filter.Tendsto (fun x => f x - b) l (nhds (c - b)) ↔ Filter.Tendsto f l (nhds c)- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- nhdsstatement and proof · cited by 5,554
- AddGroupstatement and proof · cited by 4,410
- Filter.Tendstostatement and proof · cited by 3,814
- sub_zeroproof · cited by 938
- neg_add_cancelproof · cited by 256
- ContinuousSubstatement and proof · cited by 48
- Filter.Tendsto.sub_constproof · cited by 16
- sub_add_eq_sub_sub_swapproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.tendsto_of_integral_tendsto_of_monotoneproof · cited by 3
- tendsto_zero_geometric_tsum_pnatproof · cited by 0