∀ {M : Type u_4} {N₁ : Type u_9} {N₂ : Type u_10} [inst : MulOneClass M] [inst_1 : Monoid N₁] [inst_2 : Monoid N₂]
  (e : N₁ ≃* N₂) (hmn : M →* N₁), e.monoidHomCongrRightEquiv hmn = e.toMonoidHom.comp hmn