Statement vs. Theorem

Statementnoun

A declaration or remark.

Statementnoun

A presentation of opinion or position.

Statementnoun

(finance) A document that summarizes financial activity.

Statementnoun

(computing) An instruction in a computer program.

Statementverb

(transitive) To provide an official document of a proposition, especially in the UK a Statement of Special Educational Needs.

Statementnoun

The act of stating, reciting, or presenting, orally or on paper; as, to interrupt a speaker in the statement of his case.

Statementnoun

That which is stated; a formal embodiment in language of facts or opinions; a narrative; a recital.

Statementnoun

a message that is stated or declared; a communication (oral or written) setting forth particulars or facts etc;

Statementnoun

a fact or assertion offered as evidence that something is true;

Statementnoun

(music) the presentation of a musical theme;

Statementnoun

a nonverbal message;

Statementnoun

the act of affirming or asserting or stating something

Statementnoun

(computer science) a line of code written as part of a computer program

Statementnoun

a document showing credits and debits

Theoremnoun

(mathematics) 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 called lemmas.

Theoremnoun

A mathematical statement that is expected to be true

Theoremnoun

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

Theoremverb

(transitive) To formulate into a theorem.

Theoremnoun

That which is considered and established as a principle; hence, sometimes, a rule.

Theoremnoun

A statement of a principle to be demonstrated.

Theoremverb

To formulate into a theorem.

Theoremnoun

a proposition deducible from basic postulates

Theoremnoun

an idea accepted as a demonstrable truth

Theorem

In mathematics and logic, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems. A theorem is hence a logical consequence of the axioms, with a proof of the theorem being a logical argument which establishes its truth through the inference rules of a deductive system.