Theorems · Theorem · group theory

AddMonoidHom.noncommCoprod_apply

∀ {M : Type u_1} {N : Type u_2} {P : Type u_3} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] [inst_2 : AddMonoid P]
  (f : M →+ P) (g : N →+ P) (comm : ∀ (m : M) (n : N), AddCommute (f m) (g n)) (mn : M × N),
  (f.noncommCoprod g comm) mn = f mn.1 + g mn.2

Defined in

Mathlib.GroupTheory.NoncommCoprod

Cited by

5 results in Mathlib

Foundations

Depth 14 from the axioms · uses propext

Assumes

AddZeroClassAddZeroClassAddMonoid