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Keywords:
Proposition,
Axiom,
Deduced,
Proven,
Postulates
That which is considered and established as a principle; hence, sometimes, a rule.
A statement of a principle to be demonstrated.
A statement that can be proven using logical (deductive) reasoning
A statement in a formal system that has proof.
important mathematical statements which can be proven by postulates, definitions, and/or previously proved theorems [Go to source
A statement that can be proved.
A main result. Usually the proof is somewhat involved and the result is interesting and useful. Constructive Proof
a proposition deducible from basic postulates
an idea accepted as a demonstrable truth
a formula for which a zero-premise derivation has been provided
a formula that can be derived from the axioms by applying the rules of inference
a mathematical fact that has been proved from more basic facts
a mathematical statement that can be justified with a logical proof
a non-obvious mathematical fact
a proposition deduced from an axiom
a proposition to be proved by a chain of reasoning
a sentence that has been proved
a statement in a formal language that is necessarily true, while a theory is a well-supported explanation for observed events
a statement susceptible of logical proof when certain facts are accepted as true
a statement that has been proved by a logical reasoning process
a statement that has been proven, or can be proven, from the postulates
a statement which can be derived from those axioms by application of these rules of inference
a statement which can be proven true within some logical framework
a statement which has been proved to be true
a Whig proposition--the benefit of which to any one but the Whigs always requires to be demonstrated
A mathematical statement or rule that is proven to be true.
A proposition that can be deduced from the premises of a system.
A statement that has been proved true.
A statement that has been proven to be true.
a logical proposition that follows from basic definitions and assumptions
(noun) A formula, proposition, or statement in mathematics or logic deduced or to be deduced from other formulas or propositions. (A theorem is the last step, after other statements have been proved.)
See Axiom/Theorem.
A theorem (IPA pronunciation: , from vulgar Latin theÅrÄ“ma, Greek θεώÏημα "spectacle, speculation, theory") is a proposition that has been or is to be proved on the basis of explicit assumptions. Proving theorems is a central activity of mathematicians. Note that "theorem" is distinct from "theory".
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