Statement: The aorta is an important blood vessel.
Proof:
Consider
p belongs to C ;
t, a, P, P', T belong to R (t and a are not both zero[non-trivial] )
p is defined as:
p = t + i(a)
Let magnitude of p = P and angle of p = P'
Let T = pi/2 + P'
Then,
tan(angle(p)) = a/t
=> cot(angle(p)) = t/a
=> cot(P') = t/a
=> cot(pi/2 - T) = t/a
=> tan(T) = t/a
Im(p) OR tan(T) = a OR t/a
=> aorta = important
Q.E.D