by thefundamentaltheorem of___suchthathencewe needto showsupposeobserveasdesiredassume for acontradictionclearlylots ofhandwavingnoticelet x bearbitraryon thecontrarywhich iswhat wewantedso wearedonewe firstprove thefollowinglemmawithoutloss ofgeneralityitsufficesto showon theotherhandruns outofalphabetsto useETSotherwiseQ.E.Dwe mayassumeby thefundamentaltheorem of___suchthathencewe needto showsupposeobserveasdesiredassume for acontradictionclearlylots ofhandwavingnoticelet x bearbitraryon thecontrarywhich iswhat wewantedso wearedonewe firstprove thefollowinglemmawithoutloss ofgeneralityitsufficesto showon theotherhandruns outofalphabetsto useETSotherwiseQ.E.Dwe mayassume

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.


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