I see there is an old string addressing this question, but I need to prove it using set containment both directions. Not sure where to start.
a, b are in G, a group. H is a subgroup. If aH = bH then Ha^(-1) = Hb^(-1).
I see there is an old string addressing this question, but I need to prove it using set containment both directions. Not sure where to start.
a, b are in G, a group. H is a subgroup. If aH = bH then Ha^(-1) = Hb^(-1).