I'm trying to figure out how to refer to a verb that was used earlier within a sentence. In English, the type of behavior I'm trying to capture can be demonstrated in the following sentences.
I washed the dishes because she did not.
I play chess and she does too.
I jumped into the water after they did.
They ran away but I could not.
Based on my intuition and some searching online for possible answers, the possibilities I've come up with are that the verb could be dropped, like in English, or that it could be replaced with tun. Applying this to the example sentences gave me:
Ich habe das Geschirr gespült, weil sie nicht (getan) hat.
Ich spiele Schach und sie (tut) auch.
Ich bin gesprungen ins Wasser, nachdem sie (getan) haben.
Sie sind weggelaufen, aber ich konnte nicht (tun).
I would like to know if either or both of these options are correct. If so, are there other ways to accomplish the same grammatical function and if not, what is the proper way to do so?