Theorems · Theorem · group theory

AddMonoidHom.mker_prod_map

∀ {M : Type u_1} {N : Type u_2} [inst : AddZeroClass M] [inst_1 : AddZeroClass N] {M' : Type u_5} {N' : Type u_6}
  [inst_2 : AddZeroClass M'] [inst_3 : AddZeroClass N'] (f : M →+ N) (g : M' →+ N'),
  AddMonoidHom.mker (f.prodMap g) = (AddMonoidHom.mker f).prod (AddMonoidHom.mker g)

Defined in

Mathlib.Algebra.Group.Submonoid.Operations

Cited by

0 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Quot.sound

Assumes

AddZeroClassAddZeroClassAddZeroClassAddZeroClass