We have just introduced Parisian down-and-in options with a call feature, denoted here $C_{DIPa}$. One can also define Parisian up-and-in options $P_{\text{UIPa}}$ with a put feature, i.e., with payoff ${(K-S_T)}^{+}{1}_{\{G_D^{+,L}<T\}}$. Prove the symmetry formula

$$C_{DIPa}(S_0,K,L;r,\delta ;D,T)=K{S}_0{P}_{UIPa}(S_0^{-1},K^{-1},L^{-1},\delta ,r;D,T)$$