beta oxidation unsaturated fatty acid (cis between C2 and C3)

As I know, in oxidation of unsaturated fatty acid, cis or trans double bond between C3 and C4 are transformed into a trans double bond between C2 and C3 (i.e. between alpha and beta carbon atoms) by enol-CoA isomerase
So, all cis (C2n+1=C2n+2) and trans (C2n+1=C2n+2) have no problem, n=1,2,3...

For cis double bond between C4 and C5, the fatty acid undergoes the first step of beta oxidation, so then it has cis (C4=C5) and trans (C2-C3), and the double pairs will be transformed into trans...

beta oxidation unsaturated fatty acid (cis between C2 and C3)