henceitsufficesto showlet x bearbitraryon thecontrarywe mayassumeasdesiredsupposewithoutloss ofgeneralityassume for acontradictionsuchthatwhich iswhat wewantedso wearedoneotherwiseclearlywe firstprove thefollowinglemmaETSby thefundamentaltheorem of___on theotherhandobserveQ.E.Druns outofalphabetsto usenoticewe needto showlots ofhandwavinghenceitsufficesto showlet x bearbitraryon thecontrarywe mayassumeasdesiredsupposewithoutloss ofgeneralityassume for acontradictionsuchthatwhich iswhat wewantedso wearedoneotherwiseclearlywe firstprove thefollowinglemmaETSby thefundamentaltheorem of___on theotherhandobserveQ.E.Druns outofalphabetsto usenoticewe needto showlots ofhandwaving

Your last - Call List

(Print) Use this randomly generated list as your call list when playing the game. There is no need to say the BINGO column name. Place some kind of mark (like an X, a checkmark, a dot, tally mark, etc) on each cell as you announce it, to keep track. You can also cut out each item, place them in a bag and pull words from the bag.


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  1. hence
  2. it suffices to show
  3. let x be arbitrary
  4. on the contrary
  5. we may assume
  6. as desired
  7. suppose
  8. without loss of generality
  9. assume for a contradiction
  10. such that
  11. which is what we wanted
  12. so we are done
  13. otherwise
  14. clearly
  15. we first prove the following lemma
  16. ETS
  17. by the fundamental theorem of ___
  18. on the other hand
  19. observe
  20. Q.E.D
  21. runs out of alphabets to use
  22. notice
  23. we need to show
  24. lots of handwaving