If you're going to try to claim that "holy war" is one of four components, and that all are components of the same thing...no, sir, that doesn't work. If that were indeed the case, then the majority of Muslims would not be PEACEFUL...but they are. If your claim were indeed the case, then ALL the Muslim nations would be continually at war with anyone not of their faith...but they're not. If your claim were true, then it wouldn't be safer for me to walk the streets of Dubai than in almost any major American city you care to name...but it is.
You want proof that holy war is a component of jihad?????? Here you go:
Sura 9 contains the following verses in which conjugations of 'jihad' are clearly used interchangeably with those of 'qatl' (kill/fight), and all in the context of fighting for allah and Islam. I have shown in parentheses whether 'qatl' or 'jihad' was used:
9:12 - But if, after coming to terms with you, they break their oaths and revile your belief, fight (qatl) the leaders of the disbelief - for they have no oaths - in order that they will desist.
9:13 - Will you not fight (qatl) against those who have broken their oaths and conspired to expel the Messenger?
9:14 - Fight (qatl) them, Allah will punish them with your hands and degrade them. He will grant you victory over them and heal the chests of a believing nation.
9:16 - Did you suppose that you would be left before Allah has known those of you who fought (jihad) and did not take a confidant other than Allah, His Messenger, and the believers? Allah is Aware of what you do.
9:19 - Do you consider giving drink to the pilgrims and inhabiting the Sacred Mosque is the same as one who believes in Allah and the Last Day, and struggles (jihad) in the Way of Allah? These are not held equal by Allah. Allah does not guide the harmdoers. (In this case 'jihad' is interpreted in most translations as 'struggle' or 'strive', but is still used in the context of fighting. Here, God (actually Mohamed pretending to receive revelations) is telling the faithful that simply cheering and praying will not please him as much as fighting).
9:20 - Those who believe, and migrated, and struggle (jihad) in the Way of Allah with their wealth and their persons are greater in rank with Allah. It is they who are the winners (continuation of 9:19).
9:24 - Say: 'If your fathers, your sons, your brothers, your wives, your tribes, the property you have acquired, the merchandise you fear will not be sold, and the homes you love, are dearer to you than Allah, His Messenger and the struggling (jihad) for His Way, then wait until Allah shall bring His command. Allah does not guide the evildoers.'
9:25- Allah has helped you on many a battlefield. In the Battle of Hunain, when your numbers were pleasing you they availed you nothing; the earth, for all its vastness, seemed to close in upon you and you turned your backs and fled. (I've included this to prove that warfare is the topic at hand, lest anyone tries to tell us Mohamed was organizing a bake sale.)
9:29 - Fight (qatl) those who neither believe in Allah nor the Last Day, who do not forbid what Allah and His Messenger have forbidden, and do not embrace the religion of the truth, being among those who have been given the Book (Bible and the Torah), until they pay tribute out of hand and have been humiliated.
9:39 - If you do not go forth, He will punish you with a painful punishment and replace you by another nation. You will in no way harm Him; for Allah has power over all things. (This shows Allah/Mohamed is still cajoling and threatening the faithful to lay down their lives for him.)
9:41 - Whether lightly or heavily, march on and fight (jihad) for the Way of Allah, with your wealth and your persons. This will be best for you, if you but knew.
9:44 - Those who believe in Allah and the Last Day will not ask your permission so that they may struggle (jihad) with their wealth and their selves. Allah knows best the righteous.
Notice that 'qatl' is the root word for the first three verses above, but gives way to 'jihad' in the next four, reverts to 'qatl' in the infamous 9:29, then goes back to 'jihad' by 9:41, proving that the two are used interchangeably, and all in the context of war. Verse 9:29 also shows that Christians and Jews are specific targets, which answers your previous incorrect post as well.
Hugh Kennedy's book, "The Great Arab Conquests" explains everything you seem to not understand. I recommend you read it and shed the willful ignorance in which you blissfully live.