let x bearbitraryQ.E.Dhenceon thecontraryotherwiseobservelots ofhandwavingitsufficesto showETSsuchthatclearlywhich iswhat wewantedassume for acontradictionso wearedoneby thefundamentaltheorem of___we firstprove thefollowinglemmasupposewe mayassumeon theotherhandnoticewithoutloss ofgeneralityasdesiredruns outofalphabetsto usewe needto showlet x bearbitraryQ.E.Dhenceon thecontraryotherwiseobservelots ofhandwavingitsufficesto showETSsuchthatclearlywhich iswhat wewantedassume for acontradictionso wearedoneby thefundamentaltheorem of___we firstprove thefollowinglemmasupposewe mayassumeon theotherhandnoticewithoutloss ofgeneralityasdesiredruns outofalphabetsto usewe needto show

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