Theorems · Definition · group theory

AddMonoidHom.prod

{M : Type u_3} →
  {N : Type u_4} →
    {P : Type u_5} →
      [inst : AddZeroClass M] → [inst_1 : AddZeroClass N] → [inst_2 : AddZeroClass P] → (M →+ N) → (M →+ P) → M →+ N × P

Combine two AddMonoidHoms f : M →+ N, g : M →+ P into f.prod g : M →+ N × P given by (f.prod g) x = (f x, g x)

Defined in

Mathlib.Algebra.Group.Prod

Cited by

14 results in Mathlib

Foundations

Depth 13 from the axioms · uses no axioms

Assumes

AddZeroClassAddZeroClassAddZeroClass