## Question

###### Letand M be On-empty sets. For each a â‚¬ A; let Ma = M_ Let U be an ultrafilter On A, Let II Ma /~be as defined in the Structures notes_ Show that A < II Ma aEA aeA by defining an injection g : A - II Ma and proving that g is an injection_ aeA Let everything be as in the previous question and further assume that M is finite. Prove that there is & bijection 9 : A - II Ma aEA

Let and M be On-empty sets. For each a â‚¬ A; let Ma = M_ Let U be an ultrafilter On A, Let II Ma /~be as defined in the Structures notes_ Show that A < II Ma aEA aeA by defining an injection g : A - II Ma and proving that g is an injection_ aeA Let everything be as in the previous question and further assume that M is finite. Prove that there is & bijection 9 : A - II Ma aEA

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