the addition

[bhaisahab]

Pues, nos veremos, bajo el puente, ¿vale?

I'm afraid I don't understand Spanish, can you please repeat that in French or, as this is an English language forum, it might be polite to repeat it in English.

[Pedroski]

Wi'll see uns under t'bridge, aye?

[e2e4]

/A learner/

Didn't Masuas say we'd dotted the i's and crossed the t's with this matter?

[masuas]

The basic ingredients of pasta are flour and water,
sometimes oil and eggs are added.
I know what "under construction" means, I was trying to compare
it with "the addition of eggs and oil". I think in the native languages of certain countries they use "the", or not.
Good weekend, partners.

[AndrewTheElephant]

There's a rule about abstract nouns like music, love, power, weather etc.: if an abstract noun has some defining word or it is defined by the situation, the definite article is used:

I like the music of this ballet.
Do you know the time of departure?

Guess "addition" in your example is abstract enough to fit this rule.

[Pedroski]

I like the music of this ballet. 'of this ballet' certainly narrows down 'music', so music has 'the'.

The point was, do you need the article in the prepositional phrase, here 'of this ballet' or 'of ballet' cf 'of Chopin' or 'of the Chopin.' (a bit extreme that example.) A search will find hundreds of thousands of examples of "music of ballet"
Do you think: I like the music of ballet. is wrong? If so, why is it wrong? cf Pasta's main ingredients are flour and water, sometimes with addition of ...

with addition of ... or with the addition of ....

[Pedroski]

Exactly: you can also say: with the addition of ..., or you can say with addition of... Many people use the latter. Some people say that is wrong. But they don't say why it is wrong.

I'm not sure whether Swan Lake can be called ballet music. Tschaikovsky wrote the music, which was later used for the ballet, possibly written by Vladimir Petrovich Begichev. Don't confuse the music of the ballet with ballet music.