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A more sophisticated version of the theorem involving fields states that:
{{blockquote|To every continuous [[Symmetry in physics|symmetry]] generated by local actions there corresponds a [[conserved current]] and
The word "symmetry" in the above statement refers more precisely to the [[general covariance|covariance]] of the form that a physical law takes with respect to a one-dimensional [[Lie group]] of transformations satisfying certain technical criteria. The [[conservation law]] of a [[physical quantity]] is usually expressed as a [[continuity equation]].
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