Theorems · Theorem · Lie groups
Filter.Tendsto.sub_const
∀ {G : Type w} {α : Type u} [inst : TopologicalSpace G] [inst_1 : Sub G] [ContinuousSub G] {c : G} {f : α → G}
{l : Filter α}, Filter.Tendsto f l (nhds c) → ∀ (b : G), Filter.Tendsto (fun x => f x - b) l (nhds (c - b))- Defined in
- Mathlib.Topology.Algebra.Group.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Filter.Tendstostatement and proof · cited by 3,814
- tendsto_const_nhdsproof · cited by 330
- Filter.Tendsto.subproof · cited by 68
- ContinuousSubstatement and proof · cited by 48
Cited by16
Results whose statement or proof uses this declaration.
- MeasureTheory.integral_Ioi_of_hasDerivAt_of_tendstoproof · cited by 5
- StieltjesFunction.measure_univproof · cited by 5
- MeasureTheory.integrableOn_Ioi_deriv_of_nonnegproof · cited by 3
- Complex.dist_le_div_mul_dist_of_mapsTo_ballproof · cited by 3
- tendsto_apply_add_mul_sq_div_subproof · cited by 2
- Filter.tendsto_sub_const_iffproof · cited by 2
- integral_exp_mul_complex_Ioiproof · cited by 2
- HurwitzZeta.hurwitzZeta_residue_oneproof · cited by 1
- StieltjesFunction.measure_Iciproof · cited by 1
- Monotone.ae_hasDerivAtproof · cited by 1
- Complex.tendsto_arg_nhdsWithin_im_neg_of_re_neg_of_im_zeroproof · cited by 1
- StieltjesFunction.ae_hasDerivAtproof · cited by 1