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[mizar] Union of two subgroups



Dear All:

I cannot find in MML a theorem that the union of two subgroups is  a subgroup iff  one of the subgroups is a subset of the other subgroup.

The same question about the product of two subgroups H and K:

H*K is a subgroup iff H*K = K*H.

Please help.

Victor Makarov