Theorems · Definition · group theory

Monoid.Coprod.map

{M : Type u_1} →
  {N : Type u_2} →
    {M' : Type u_3} →
      {N' : Type u_4} →
        [inst : MulOneClass M] →
          [inst_1 : MulOneClass N] →
            [inst_2 : MulOneClass M'] →
              [inst_3 : MulOneClass N'] → (M →* M') → (N →* N') → Monoid.Coprod M N →* Monoid.Coprod M' N'

Map M ∗ N to 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

MulOneClassMulOneClassMulOneClassMulOneClass