Metamath Proof Explorer


Table of Contents - 5.12. Cardinality of real and complex number subsets

  1. Countability of integers and rationals
    1. xpnnen
    2. znnen
    3. qnnen
  2. The reals are uncountable
    1. rpnnen2lem1
    2. rpnnen2lem2
    3. rpnnen2lem3
    4. rpnnen2lem4
    5. rpnnen2lem5
    6. rpnnen2lem6
    7. rpnnen2lem7
    8. rpnnen2lem8
    9. rpnnen2lem9
    10. rpnnen2lem10
    11. rpnnen2lem11
    12. rpnnen2lem12
    13. rpnnen2
    14. rpnnen
    15. rexpen
    16. cpnnen
    17. rucALT
    18. ruclem1
    19. ruclem2
    20. ruclem3
    21. ruclem4
    22. ruclem6
    23. ruclem7
    24. ruclem8
    25. ruclem9
    26. ruclem10
    27. ruclem11
    28. ruclem12
    29. ruclem13
    30. ruc
    31. resdomq
    32. aleph1re
    33. aleph1irr
    34. cnso