Theorems · Definition · group theory

AddMonoidHom.prodMap

{M : Type u_3} →
  {N : Type u_4} →
    [inst : AddZeroClass M] →
      [inst_1 : AddZeroClass N] →
        {M' : Type u_6} →
          {N' : Type u_7} →
            [inst_2 : AddZeroClass M'] → [inst_3 : AddZeroClass N'] → (M →+ M') → (N →+ N') → M × N →+ M' × N'

Prod.map as an AddMonoidHom.

Defined in

Mathlib.Algebra.Group.Prod

Cited by

15 results in Mathlib

Foundations

Depth 14 from the axioms · uses propext, Quot.sound

Assumes

AddZeroClassAddZeroClassAddZeroClassAddZeroClass