Theorems · Definition · group theory

AddMonoid.Coprod.lift

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

Lift a pair of additive monoid homomorphisms f : M →+ P, g : N →+ P to an additive monoid homomorphism AddMonoid.Coprod M N →+ P. See also AddMonoid.Coprod.clift for a version that allows custom computational behavior and works for an AddZeroClass codomain.

Defined in

Mathlib.GroupTheory.Coprod.Basic

Cited by

13 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Quot.sound

Assumes

AddZeroClassAddZeroClassAddMonoid