prouvons

Prouvons is the first-person plural present indicative form of the French verb prouver, meaning to prove. It is used when the subject is “nous” and the action is to establish or demonstrate something as true.

The verb prouver belongs to the regular -er conjugation in French and derives from Latin probare, meaning to test or to prove. As a variable form, prouvons differs from other present tense forms such as je prouve, tu proves, il prouve, nous prouvons, vous prouvez, ils prouvent.

In usage, prouvons appears in both everyday French and more formal or technical writing. It is common in argumentative or mathematical contexts where a claim is being established: Nous prouvons que cette proposition est vraie. In scientific or philosophical writing, the form signals an active demonstration rather than mere assertion.

In mathematics and related disciplines, prouvons is frequently seen at the start of a proof or a step within a proof. It helps frame the declarative nature of the argument: Nous prouvons l’égalité en utilisant les propriétés des opérateurs. The form is not a noun or a title; it is a grammatical conjugation requiring a subject pronoun.

See also: prouver, preuve, démonstration. Distinctions exist with other forms such as pouvons (we can) and prouvent (they prove).