Metamath Proof Explorer


Table of Contents - 2.3.8. Partial and total orderings

We have not yet defined relations (df-rel), but here we introduce a few related notions we will use to develop ordinals. The class variable is no different from other class variables, but it reminds us that typically it represents what we will later call a "relation".

  1. wpo
  2. wor
  3. df-po
  4. df-so
  5. poss
  6. poeq1
  7. poeq2
  8. poeq12d
  9. nfpo
  10. nfso
  11. pocl
  12. ispod
  13. swopolem
  14. swopo
  15. poirr
  16. potr
  17. po2nr
  18. po3nr
  19. po2ne
  20. po0
  21. pofun
  22. sopo
  23. soss
  24. soeq1
  25. soeq2
  26. soeq12d
  27. sonr
  28. sotr
  29. sotrd
  30. solin
  31. so2nr
  32. so3nr
  33. sotric
  34. sotrieq
  35. sotrieq2
  36. soasym
  37. sotr2
  38. issod
  39. issoi
  40. isso2i
  41. so0
  42. somo
  43. sotrine
  44. sotr3