What is where ? I want to say that the union is , could I prove this by induction? What would be the simplest approach?
Last edited by krtica; October 20th 2010 at 05:15 PM. Reason: Fix LaTex
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The simplest approach is to note that for every , , so . (And, obviously, because each .)
In General if you want to show that two sets are equal show that and Notice that for all that This should get you started
Got it. Thank you both for responding.
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