Intersection of Two Normal Subgroups is Normal Proof

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Intersection of Two Normal Subgroups is Normal Proof
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the only way this video could be better is if there's a drawing on the side

lemyul
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How did you suppose that x belongs to H intersection K in the start of the proof?

mkhd
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as the intersection of two normal subgroups is normal . is the intersection of any number of normal subgroups is normal ? kindly clear this confusion .

abdulwadoodmoaz