Theorems · Theorem · order theory
Filter.tendsto_atTop_add_const_right
∀ {α : Type u_1} {G : Type u_2} [inst : AddCommGroup G] [inst_1 : PartialOrder G] [IsOrderedAddMonoid G] (l : Filter α)
{f : α → G} (C : G), Filter.Tendsto f l Filter.atTop → Filter.Tendsto (fun x => f x + C) l Filter.atTop- Defined in
- Mathlib.Order.Filter.AtTopBot.Group
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- Filterstatement and proof · cited by 8,121
- PartialOrderstatement and proof · cited by 6,410
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- le_reflproof · cited by 2,061
- Filter.univ_mem'proof · cited by 1,672
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Filter.tendsto_atTop_add_right_of_le'proof · cited by 3
Cited by20
Results whose statement or proof uses this declaration.
- Real.tendsto_exp_atTopproof · cited by 10
- summable_pow_mul_jacobiTheta₂_term_boundproof · cited by 6
- summable_jacobiTheta₂_term_iffproof · cited by 4
- Filter.tendsto_atBot_add_const_rightproof · cited by 3
- mapClusterPt_self_zpow_atTop_powproof · cited by 3
- mapClusterPt_self_zsmul_atTop_nsmulproof · cited by 3
- AntitoneOn.integrableOn_Ioi_of_summable_comp_addproof · cited by 2
- ZetaAsymptotics.termTSum_of_ltproof · cited by 2
- exp_neg_mul_rpow_isLittleO_exp_negproof · cited by 2
- tendsto_arithGeom_atTop_of_one_ltproof · cited by 1
- tendsto_mul_add_inv_atTop_nhds_zeroproof · cited by 1
- circleAverage_re_herglotzRieszKernel_mul_log₀proof · cited by 1