It is used commonly with après to indicate a past event. For example: ...
The most common use of the perfect infinitive is to say ‘after having done’ something. Après avoir fait mes devoirs, j’ai regardé la télé. – After having done/After doing my homework, I watched TV.
An "infinitive" in English is a verb preceded by the word to, as in to study. Many English verbs can be followed by a grammatical structure that contains an infinitive and is known as an "infinitive ...