Theorems · Theorem · number theory
AddChar.tendsto_eval_one_sub_pow
∀ {p : ℕ} [inst : Fact (Nat.Prime p)] {R : Type u_1} [inst_1 : NormedRing R] [inst_2 : Algebra ℤ_[p] R]
[IsBoundedSMul ℤ_[p] R] [IsUltrametricDist R] {κ : AddChar ℤ_[p] R},
Continuous ⇑κ → Filter.Tendsto (fun n => (κ 1 - 1) ^ n) Filter.atTop (nhds 0)- Defined in
- Mathlib.NumberTheory.Padics.AddChar
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 207 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.
- DFunLike.coestatement and proof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- nhdsstatement · cited by 5,554
- mul_oneproof · cited by 3,885
- Filter.Tendstostatement · cited by 3,814
- Factstatement and proof · cited by 2,726
- Continuousstatement and proof · cited by 2,592
- Filter.atTopstatement · cited by 2,405
- Nat.Primestatement and proof · cited by 2,059
- NormedRingstatement and proof · cited by 924
- Nat.iterateproof · cited by 740
- IsBoundedSMulstatement and proof · cited by 329
Cited by1
Results whose statement or proof uses this declaration.
- PadicInt.continuousAddCharEquivproof · cited by 2