theorem

UK /ˈθiː.ə.ɹəm/ US /ˈθiərəm/

noun 3verb 1

Definitions

noun

A mathematical statement of some importance that has been proven to be true. Minor theorems are often called propositions. Theorems which are not very interesting in themselves but are an essential part of a bigger theorem's proof are calle

A mathematical statement that is expected to be true.

Fermat's Last Theorem was known thus long before it was proved in the 1990s.

A syntactically correct expression that is deducible from the given axioms of a deductive system.

verb

To formulate into a theorem.

Collocations

ADJ.

binomial, final, fundamental, important, incorrect, intermediate, known, last

The fundamental theorem of calculus was finally explained clearly by our teacher yesterday.

VERB + THEOREM

apply, covering, functions, note, prove, proving, use, value

The mathematician spent years proving the theorem that revolutionized our understanding of prime numbers.

THEOREM + NOUN

calculus, proof, triangles

The Pythagorean theorem helps us find the missing side of right triangles.

PREP.

in, upon, with

The mathematician based her proof upon the Pythagorean theorem.

ADV.

also, finally, obviously, thus

The mathematician finally proved the theorem after spending ten years on the problem.

Thesaurus

Synonyms

Antonyms

Idioms & Phrases

Example Bank

Fermat's Last Theorem was known thus long before it was proved in the 1990s.

Wiktionary

That method's OK but if you use the factor theorem here ...

Tatoeba · #327089

Obviously, the theorem is true for finite sets.

Tatoeba · #367526

Now, we show how this lemma can be used to prove our main theorem.

Tatoeba · #367528

Pythagoras' theorem says that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Tatoeba · #433794

Note that this theorem does not assume the existence of such an object.

Tatoeba · #481966

Usage Notes

i Register

In some senses, theorem is marked as colloquial. Watch for register when choosing this word.

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