Theorems · Theorem · number theory
PadicInt.continuous_addChar_of_value_at_one
∀ {p : ℕ} [inst : Fact (Nat.Prime p)] {R : Type u_1} [inst_1 : NormedRing R] [inst_2 : Algebra ℤ_[p] R]
[inst_3 : IsBoundedSMul ℤ_[p] R] [inst_4 : IsUltrametricDist R] [inst_5 : CompleteSpace R] {r : R}
(hr : Filter.Tendsto (fun x => r ^ x) Filter.atTop (nhds 0)), Continuous ⇑(PadicInt.addChar_of_value_at_one r hr)- Defined in
- Mathlib.NumberTheory.Padics.AddChar
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 218 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- Factstatement and proof · cited by 2,726
- Continuousstatement · cited by 2,592
- CompleteSpacestatement and proof · cited by 2,532
- Filter.atTopstatement and proof · cited by 2,405
- Nat.Primestatement and proof · cited by 2,059
- NormedRingstatement and proof · cited by 924
- IsBoundedSMulstatement and proof · cited by 329
- AddCharstatement · cited by 286
Cited by2
Results whose statement or proof uses this declaration.
- PadicInt.continuousAddCharEquivproof · cited by 2
- PadicInt.eq_addChar_of_value_at_oneproof · cited by 0