Theorems · Theorem · order theory
tendsto_intCast_atTop_iff
∀ {α : Type u_1} {R : Type u_2} [inst : Ring R] [inst_1 : PartialOrder R] [IsStrictOrderedRing R] [Archimedean R]
{f : α → ℤ} {l : Filter α}, Filter.Tendsto (fun n => ↑(f n)) l Filter.atTop ↔ Filter.Tendsto f l Filter.atTop- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, 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.
- Filterstatement and proof · cited by 8,121
- Ringstatement and proof · cited by 7,463
- PartialOrderstatement and proof · cited by 6,410
- Filter.Tendstostatement and proof · cited by 3,814
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Filter.atTopstatement and proof · cited by 2,405
- Archimedeanstatement and proof · cited by 603
- Filter.tendsto_comap_iffproof · cited by 55
- Int.comap_cast_atTopproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_intCast_atTop_atTopproof · cited by 1