Theorems · Theorem · number theory

PadicInt.addChar_of_value_at_one_def

∀ {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)), (PadicInt.addChar_of_value_at_one r hr) 1 = 1 + r

Defined in

Mathlib.NumberTheory.Padics.AddChar

Cited by

1 results in Mathlib

Foundations

Depth 218 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FactNormedRingAlgebraIsBoundedSMulIsUltrametricDistCompleteSpace