Rule calculus.differentiation.plus

Parameters
Buggyno
Rewrite ruleyes
Siblings

Rewrite rule

D(a) (b+c)   ⇒   (D(a) b)+(D(a) c)

Formal Mathematical Properties

<FMP><OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd"><OMBIND><OMS cd="quant1" name="forall"/><OMBVAR><OMV name="$1"/><OMV name="$2"/></OMBVAR><OMA><OMS cd="relation1" name="eq"/><OMA><OMS cd="calculus1" name="diff"/><OMBIND><OMS cd="fns1" name="lambda"/><OMBVAR><OMV name="$0"/></OMBVAR><OMA><OMS cd="arith1" name="plus"/><OMV name="$1"/><OMV name="$2"/></OMA></OMBIND></OMA><OMA><OMS cd="arith1" name="plus"/><OMA><OMS cd="calculus1" name="diff"/><OMBIND><OMS cd="fns1" name="lambda"/><OMBVAR><OMV name="$0"/></OMBVAR><OMV name="$1"/></OMBIND></OMA><OMA><OMS cd="calculus1" name="diff"/><OMBIND><OMS cd="fns1" name="lambda"/><OMBVAR><OMV name="$0"/></OMBVAR><OMV name="$2"/></OMBIND></OMA></OMA></OMA></OMBIND></OMOBJ></FMP>