Theorems · Theorem · number theory

PadicInt.continuousAddCharEquiv_apply

∀ {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] {κ : AddChar ℤ_[p] R}
  (hκ : Continuous ⇑κ), ↑((PadicInt.continuousAddCharEquiv p R) ⟨κ, hκ⟩) = κ 1 - 1

Defined in

Mathlib.NumberTheory.Padics.AddChar

Cited by

0 results in Mathlib

Foundations

Depth 223 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FactNormedRingAlgebraIsBoundedSMulIsUltrametricDistCompleteSpace