Theorems · Theorem · sequences and series
tendsto_natCast_atTop_cobounded
∀ {α : Type u_1} [inst : NormedRing α] [NormSMulClass ℤ α] [Nontrivial α],
Filter.Tendsto Nat.cast Filter.atTop (Bornology.cobounded α)- Defined in
- Mathlib.Analysis.SpecificLimits.Normed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- norm_pos_iffproof · cited by 168
- Bornology.coboundedstatement · cited by 162
- NormSMulClassstatement and proof · cited by 107
- tendsto_natCast_atTop_atTopproof · cited by 51
- tendsto_norm_atTop_iff_coboundedproof · cited by 13
- Filter.Tendsto.atTop_mul_constproof · cited by 12
- norm_natCast_eq_mul_norm_oneproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_smul_comp_nat_floor_of_tendsto_nsmulproof · cited by 1