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)cl all

a: Symbol := 'a
b: Symbol := 'b
coef     := Fraction(Integer)
group    := LieExponentials(Symbol, coef, 3)
lpoly    := LiePolynomial(Symbol, coef)
poly     := XPBWPolynomial(Symbol, coef)
ea := exp(a::lpoly)$group
eb := exp(b::lpoly)$group
g: group := ea*eb
g :: poly
log(g)$group
g1: group := inv(g)
g*g1