démontrez

démontrez is the second-person plural present indicative or imperative form of the French verb démontrer. In its indicative form, it translates to "you all demonstrate" or "you all prove." As an imperative, it means "demonstrate!" or "prove!" The verb démontrer itself means to show, to prove, to demonstrate, or to establish. It implies providing evidence, reasoning, or a clear illustration to support a claim or concept.

The word is frequently encountered in academic and scientific contexts where a rigorous presentation of evidence is required. For instance, a professor might ask students to "démontrez votre compréhension de la théorie" (demonstrate your understanding of the theory) through an essay or presentation. Similarly, in mathematics, a proof would involve a step-by-step demonstration of a theorem's validity, often beginning with phrases like "Démontrons que..." (Let us demonstrate that...). The imperative form is used to directly instruct someone to perform an act of proving or showing.