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The rest is a mix of National Ideas/traditions/ambitions (which most countries can´t choose as they can´t change to other tag) and Idea Groups, Policies, advisors, events and Defender of Faith.
Look at the EU4 wiki for relevant info regarding policies and events, which are the more tricky part. It´s easy to see what Quality does to your discipline ;)
The heck? Since when?
To the wiki we venture!
You commonly get +5% Discpline from national ideas.
+5% from Quality
+5% Absolute Monarchy
+2.5% for Protestant thingy.
+2.5% for Religious + Quality ideas
+5% from Offensive
Throw the advisor in there and it's all good.
10% from nation ideias
7.5% from policies
2.5% from protestant
10% from offensive and quality ideas
5% from advisor
135% in all
Doesn't the Livonian Order have Divine ideas? That gives you 5% last time I checked, could be wrong.
The only country that I know that gets 10% is Japan. You also forgot the +5% from Absolute Monarchy.
yes, wait 2 centuries for the advisor to be available.
You can just fire advisors till you get it, could be a DLC.
That said, AI France still likes its offensive ideas which net another 5% discipline.
Youre playing Italy so immediately have 15% infantry combat ability (i presume from your post youve formed italy) which is a really nice NI. You can stack quality ideas on top of this for a further 10% and then quality + innovative ideas policy for a whopping 20% infantry combat ability as well. If you do this youll have 45% infantry combat ability at which point cavalry is probably worse than infantry for you.
Its a bit late to take it now if you havent but plutocratic ideas are really underrated imo. They give 10% morale which isnt fantastic but its one of the only morale giving ideas in the game besides which plutocratic is a nice idea group overall so this is just a bonus. Defensive ideas give a 15% morale bonus which is really good imo. I almost always take defensive ideas because of this since its just so good (and 75% of nations in EU4 take it). It works well with Italy as well ive found.
Religious has some of the best military policies in the game attached to it. Religious-Quality is 2.5% discipline and 10% morale which is very nice and Religious-Quanitiy is 10% morale and 5% morale regain rate which isnt as nice but still good if you really cant win a war.
Honeslty with all these bonuses the only nation likely to match you would be Prussia with some good idea groups. Unless France has taken as many mil idea groups as it can and is enacting policies (i dont think the AI does but i cant be sure) then you should beat it.
Of course, all of the above is just unit quality. The 2 unknowns are generals and army size. Generals are OP in this game and if you left lucky nations on then France gets +1/+1 to them. France probably has offensive ideas so at worst its rolling 2/2/x/y generals and most likely theyre 4/4/3/1 at worst because France. All you can do is spend a lot of mil points until you get lucky im afraid. Offensive, Defensive, Quality and Aristocratic ideas will help you roll good generals (in that order) but it really is RNG.
Army size isnt as important as youd think. Size matters, but not to the degree some people think. Youre attacking the French Alps so youll be fighting in the mountains and what does that mean? -50% combat width!! Combat width is (15+tech)*modifiers so in mountains thats (15+tech)/2. Ill take a stab in the dark and guess this is between 15 and 17. This means than an army of 30k is as big as you would possibly need to fight a battle effectively. Larger armies would make a difference but 30 stacks are optimal. So, as Italy you should have armies of 15k infantry and 15k cannons (about). Stand these across the Alps and you should be fine. If the AI piles 100k into a fight then throw some more in there but 1:1 you should easily win.
Oh, and allies ofc. Try to get Spain, the Emperor, Portugal or, if all else fails, England on side.