Theorems · Definition · group theory

MonoidHom.coprod

{M : Type u_3} →
  {N : Type u_4} →
    {P : Type u_5} →
      [inst : MulOneClass M] → [inst_1 : MulOneClass N] → [inst_2 : CommMonoid P] → (M →* P) → (N →* P) → M × N →* P

Coproduct of two MonoidHoms with the same codomain: f.coprod g (p : M × N) = f p.1 * g p.2. (Commutative case; for the general case, see MonoidHom.noncommCoprod.)

Defined in

Mathlib.Algebra.Group.Prod

Cited by

7 results in Mathlib

Foundations

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

Assumes

MulOneClassMulOneClassCommMonoid