But LIFE, Liberty and the Pursuit of Happiness is found in the DoI; not the Constitution.
The correct reference is to the Due Process Clauses (see 5th and 14th Amendments). Both refer to not being denied "life, liberty, or property, without due process of law".
Does the constitution really need to say, "The government cannot kill you, no one can kill you. You have the right to life"???
The 5th Amendment clear states: "nor shall be compelled in any criminal case to be a witness against himself, nor be deprived of life, liberty, or property, without due process of law;"