Is Henry IV and Henry of Navarre the same person?

Henry IV (13 December 1553 - 14 May 1610) was King of France and was also known as Henry of Navarre (Henri de Navarre). However, Henry IV of England ((15 April 1367- 20 March 1413), known also as Henry (of) Bolingbroke, who also claimed the title King of France was a completely different person who lived two centuries earlier.