Bizonyítandó

Bizonyítandó is a Hungarian participle used as an adjective to describe a claim, statement, or fact that must be proven. It stems from the verb bizonyítani, meaning to prove, and with the suffix -andó it expresses that proving is required or forthcoming. In mathematics, logic, and related fields, bizonyítandó typically designates elements of a problem or theorem that require a proof.

The term is common in mathematical and scientific writing. Phrases such as bizonyítandó állítás (a statement to be proven), bizonyítandó tétel (a theorem to be proven), or bizonyítandó feladat (an exercise to be proven) appear in problem sets and formal proofs. In exam tasks or scholarly texts, you might see formulations like: "Bizonyítsa be a bizonyítandó állítást." The modifier signals the goal of demonstration.

Nuances and related terms: bizonyítandó emphasizes that proof is still to be provided, whereas bizonyítható means provable or capable of being proven, and bizonyított indicates that proof has already been given. The root bizonyíték refers to evidence, while bizonyítás denotes the act or process of proving.

Etymology and usage notes: bizonyítandó is a standard mathematical and logical term, widely understood by speakers of Hungarian mathematical and scientific prose. It functions as a flexible descriptor that can modify nouns such as állítás, tétel, feladat, tény, or kijelentés, and it helps structure arguments by clearly marking elements that require demonstration.