Theorems · Definition · group theory

Monoid.Coprod.lift

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

Lift a pair of monoid homomorphisms f : M →* P, g : N →* P to a monoid homomorphism M ∗ N →* P. See also Coprod.clift for a version that allows custom computational behavior and works for a MulOneClass codomain.

Defined in

Mathlib.GroupTheory.Coprod.Basic

Cited by

13 results in Mathlib

Foundations

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

Assumes

MulOneClassMulOneClassMonoid