runs outofalphabetsto usesuchthatQ.E.DETSitsufficesto showwe mayassumeso wearedoneassume for acontradictionhencewithoutloss ofgeneralitywhich iswhat wewantedon thecontraryasdesiredwe needto showwe firstprove thefollowinglemmaobservelet x bearbitrarysupposelots ofhandwavingclearlyby thefundamentaltheorem of___noticeon theotherhandotherwiseruns outofalphabetsto usesuchthatQ.E.DETSitsufficesto showwe mayassumeso wearedoneassume for acontradictionhencewithoutloss ofgeneralitywhich iswhat wewantedon thecontraryasdesiredwe needto showwe firstprove thefollowinglemmaobservelet x bearbitrarysupposelots ofhandwavingclearlyby thefundamentaltheorem of___noticeon theotherhandotherwise

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