Theorems · Definition · group theory

AddChar.directSum

{ι : Type u_1} →
  {R : Type u_2} →
    {G : ι → Type u_3} →
      [DecidableEq ι] →
        [inst : (i : ι) → AddCommGroup (G i)] →
          [inst_1 : CommMonoid R] → ((i : ι) → AddChar (G i) R) → AddChar (DirectSum ι fun i => G i) R

Direct sum of additive characters.

Defined in

Mathlib.Algebra.DirectSum.AddChar

Cited by

2 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqAddCommGroupCommMonoid