Theorems · Theorem · Lie groups
Filter.Tendsto.const_sub
∀ {G : Type w} {α : Type u} [inst : TopologicalSpace G] [inst_1 : Sub G] [ContinuousSub G] (b : G) {c : G} {f : α → G}
{l : Filter α}, Filter.Tendsto f l (nhds c) → Filter.Tendsto (fun x => b - f x) l (nhds (b - c))- 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.
- StieltjesFunction.measure_Iicproof · cited by 8
- MeasureTheory.integral_Iic_of_hasDerivAt_of_tendstoproof · cited by 3
- Real.Wallis.tendsto_W_nhds_pi_div_twoproof · cited by 2
- integral_exp_Iicproof · cited by 2
- variationOnFromTo.tendsto_leftproof · cited by 1
- tendsto_fib_succ_div_fib_atTopproof · cited by 1
- summable_norm_pow_mul_geometric_div_one_subproof · cited by 1
- Filter.tendsto_const_sub_iffproof · cited by 1
- isNonarchimedean_smoothingFunproof · cited by 1
- AbsolutelyContinuousOnInterval.dist_le_of_pairwiseDisjoint_hasSumproof · cited by 1
- MeasureTheory.tendsto_integral_Ici_zeroproof · cited by 0
- MeasureTheory.tendsto_integral_Iio_zeroproof · cited by 0