Theorems · Theorem · sequences and series
tendsto_intCast_atBot_sup_atTop_cobounded
∀ {α : Type u_1} [inst : NormedRing α] [NormSMulClass ℤ α] [Nontrivial α],
Filter.Tendsto Int.cast (Filter.atBot ⊔ Filter.atTop) (Bornology.cobounded α)- Defined in
- Mathlib.Analysis.SpecificLimits.Normed
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- Norm.normproof · cited by 5,413
- Filter.Tendstostatement and proof · cited by 3,814
- Nontrivialstatement and proof · cited by 2,416
- Filter.atTopstatement and proof · cited by 2,405
- NormedRingstatement and proof · cited by 924
- one_ne_zeroproof · cited by 885
- Filter.Tendsto.compproof · cited by 560
- Filter.atBotstatement and proof · cited by 512
- norm_pos_iffproof · cited by 168
- Bornology.coboundedstatement · cited by 162
- NormSMulClassstatement and proof · cited by 107
Cited by2
Results whose statement or proof uses this declaration.
- tendsto_intCast_atBot_coboundedproof · cited by 0
- tendsto_intCast_atTop_coboundedproof · cited by 0