so wearedoneon theotherhandwe needto showasdesiredhencesuchthatsupposelots ofhandwavingitsufficesto showwhich iswhat wewantedobserveon thecontrarynoticeotherwiseby thefundamentaltheorem of___withoutloss ofgeneralityassume for acontradictionruns outofalphabetsto uselet x bearbitraryclearlywe mayassumeQ.E.DETSwe firstprove thefollowinglemmaso wearedoneon theotherhandwe needto showasdesiredhencesuchthatsupposelots ofhandwavingitsufficesto showwhich iswhat wewantedobserveon thecontrarynoticeotherwiseby thefundamentaltheorem of___withoutloss ofgeneralityassume for acontradictionruns outofalphabetsto uselet x bearbitraryclearlywe mayassumeQ.E.DETSwe firstprove thefollowinglemma

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