Levezetés

Levezetés is a Hungarian noun that denotes the act or result of deriving or leading out from existing premises, facts, or principles. The term is used in several domains with related but distinct nuances.

In mathematics and formal logic, levezetés refers to a sequence of justified steps that starts from given axioms or previously established results and leads to a new statement, such as a theorem, formula, or consequence. This can be called a derivation or a proof, and it emphasizes the logical connection between premises and conclusion.

In education and problem solving, levezetés describes a worked solution or method where each step is shown to illustrate how the answer is obtained. Its purpose is transparency and pedagogy, allowing verification of correctness.

In science and engineering, levezetés is used to obtain relations, equations, or models by manipulating fundamental laws and assumptions, often to show how a complex result follows from simpler principles.

In everyday language, levezetés can also denote a consequence or outcome, a way of explaining how one arrives at a particular conclusion. In sports and physical training contexts, levezetés may refer to the cooldown phase that follows exertion, intended to return the body to resting conditions.

Etymologically, levezetés derives from levezetni, meaning to lead out or to derive. The exact sense depends on the disciplinary context, but the core idea is the logical or methodological procession from known facts to a result.