Over and over again, Jesus used  the personal pronoun in  referencing the Holy Spirit.  This is Biblical proof that  He is not merely an emanation from the Father but a seperate entity. He said: 

 

“Howbeit when He, the Spirit of Truth, is come (which He did on the Day of Pentecost), He will guide you into all Truth (if our Faith is properly placed in Christ and the Cross, the Holy Spirit can then bring forth Truth to us; He doesn’t guide into some truth, but rather “all Truth”): for He shall not speak of Himself (tells us not only What He does, but Whom He represents); but whatsoever He shall hear, that shall He speak (doesn’t refer to lack of knowledge, for the Holy Spirit is God, but rather He will proclaim the Work of Christ only): and He will show you things to come (pertains to the New Covenant, which would shortly be given)” (Jn. 16:13).