Theorems · Theorem · order theory
Filter.tendsto_atBot_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.atBot → Filter.Tendsto (fun x => f x + C) l Filter.atBot- Defined in
- Mathlib.Order.Filter.AtTopBot.Group
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, 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.
- 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
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Filter.atBotstatement and proof · cited by 512
- Filter.tendsto_atTop_add_const_rightproof · cited by 20
Cited by3
Results whose statement or proof uses this declaration.
- discrim_le_zeroproof · cited by 3
- tendsto_mul_add_inv_atTop_nhds_zeroproof · cited by 1
- CircleDeg1Lift.tendsto_atBotproof · cited by 1