This is the 16132nd most frequent Polish word.
udowodnienie
"Udowodnienie" means "proof" or "demonstration."
The word 'udowodnienie' is used here as a noun indicating the action of proving something, specifically a thesis.
Udowodnienie tej tezy zajmie trochę czasu.
Proving this thesis will take some time.
Here, 'udowodnienia' is used in the context of legal evidence of innocence being demonstrated, emphasizing the formal aspect of proving.
Wymaga się udowodnienia jej niewinności w sądzie.
It is required to prove her innocence in court.
In this instance, 'udowodnieniu' is used to describe the completed action of proving facts, focusing on the sequence of events in reasoning.