Let (G,M,μ) be a measure space, where μ  is the Haar measure on topological group G:=R×R d  , (R  is the group of reals with the natural topology whereas R_d   is the group of reals with the discrete topology) and M  is the σ -algebra of all Haar measurable subsets of G . 

Let μ_0 :=μ| B  , where B  is the σ -algebra of all Borel subsets in G , and let μ_0   to the smallest completion (G,M_1 ,μ 1 )  of the measure space (G,B,μ_o )  ?

Is it true that M_1 =M  and consequently μ 1 =μ  ?