Metamath Proof Explorer


Table of Contents - 3.1. ZFC Set Theory - add Countable Choice and Dependent Choice

  1. Introduce the Axiom of Countable Choice
    1. ax-cc
    2. axcc2lem
    3. axcc2
    4. axcc3
    5. axcc4
    6. acncc
    7. axcc4dom
    8. domtriomlem
    9. domtriom
    10. fin41
    11. dominf
  2. Introduce the Axiom of Dependent Choice
    1. ax-dc
    2. dcomex
    3. axdc2lem
    4. axdc2
    5. axdc3lem
    6. axdc3lem2
    7. axdc3lem3
    8. axdc3lem4
    9. axdc3
    10. axdc4lem
    11. axdc4
    12. axcclem
    13. axcc