Theorems · Definition · group theory

AddMonoid.Coprod.map

{M : Type u_1} →
  {N : Type u_2} →
    {M' : Type u_3} →
      {N' : Type u_4} →
        [inst : AddZeroClass M] →
          [inst_1 : AddZeroClass N] →
            [inst_2 : AddZeroClass M'] →
              [inst_3 : AddZeroClass N'] → (M →+ M') → (N →+ N') → AddMonoid.Coprod M N →+ AddMonoid.Coprod M' N'

Map AddMonoid.Coprod M N to AddMonoid.Coprod M' N' by applying Sum.map f g to each element of the underlying list.

Defined in

Mathlib.GroupTheory.Coprod.Basic

Cited by

12 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Quot.sound

Assumes

AddZeroClassAddZeroClassAddZeroClassAddZeroClass