So the system of differential equations (A) can be expressed in the concise form
{A} lor f = -s,
and the system (B) can be expressed in the form
{B} log F* = 0.
Referring back to the definition (67) for log ṡ, we find that the combinations lor ([=(lor f)=]), and lor ([=(lor F*)]) vanish identically, when f and F* are alternating matrices. Accordingly it follows out of {A}, that
(68) (∂s₁/∂x₁) + (∂s₂/∂x₂) + (∂s₃/∂x₃) + (∂s₄/∂x₄) = 0,
while the relation
(69) lor (lor F*) = 0,
signifies that of the four equations in {B}, only three represent independent conditions.
I shall now collect the results.