démontrions
démontrions is the first-person plural present indicative form of the French verb "démontrer." "Démontrer" translates to "to demonstrate," "to prove," or "to show" in English. Therefore, "démontrions" means "we demonstrate," "we prove," or "we show." This verb form is used when a group of people (including the speaker) is actively performing the action of demonstrating or proving something. For instance, in a mathematical context, a group of mathematicians might say "Nous démontrions ce théorème" which translates to "We demonstrate this theorem." Similarly, in a scientific setting, researchers might state "Nous démontrions la validité de notre hypothèse" meaning "We demonstrate the validity of our hypothesis." The term can also be used in a more general sense, indicating that a group is illustrating a point or providing evidence for a claim. The specific nuance depends on the surrounding context of the sentence in which it appears. It is a common and fundamental verb conjugation in the French language, essential for expressing collective action related to proof or demonstration.