ETSso wearedoneobservewithoutloss ofgeneralitywe firstprove thefollowinglemmawhich iswhat wewantedlet x bearbitrarynoticehenceon theotherhandsuchthatasdesiredwe mayassumeotherwiseon thecontraryitsufficesto showwe needto showsupposeQ.E.Druns outofalphabetsto useby thefundamentaltheorem of___lots ofhandwavingclearlyassume for acontradictionETSso wearedoneobservewithoutloss ofgeneralitywe firstprove thefollowinglemmawhich iswhat wewantedlet x bearbitrarynoticehenceon theotherhandsuchthatasdesiredwe mayassumeotherwiseon thecontraryitsufficesto showwe needto showsupposeQ.E.Druns outofalphabetsto useby thefundamentaltheorem of___lots ofhandwavingclearlyassume for acontradiction

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