To express after doing [something] in French, you use après+ Infinitif passé.
Look at these examples:
Ils passeront la serpillière après avoir fait la vaisselle.They will mop the floor after doing the dishes.
Nous sommes allés nous coucher après avoir dit au revoir à Lisa.We went to bed after having said goodbye to Lisa.
Note that in French, if you're using après + [verbe], we consider that this action always takes place in the past of when you're speaking.
Therefore, though you can say after doing that in English, you can NEVER say après faire ça in French!
To express after + -ing / after having + past participle in French, you use the same following structure:
ATTENTION:
Use the same auxiliary as in compound tenses like Le Passé Composé.
When using avoir preceded by an object pronoun (après l'avoir vu/e), you need to agree the past participle with the object referred to by the object pronoun!
Pronunciation: The liaison between après and avoir is optional here, and tends to be omitted in colloquial speech. Liaising here sounds more elegant and more formal.
See also cases with auxiliary être: Après être allé = After going (auxiliary être)
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Examples and resources
Nous sommes allés nous coucher après avoir dit au revoir à Lisa.We went to bed after having said goodbye to Lisa.
Après avoir quitté la soirée, Éric est rentré chez lui.After having left the party, Éric went back home.
Après avoir fini ma dissertation, je commencerai mes révisions.After finishing my essay, I will start studying for my exam.
