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Definition df-on 4333
Description: Define the class of all ordinal numbers. Definition 7.11 of [TakeutiZaring] p. 38. (Contributed by NM, 5-Jun-1994.)
Assertion
Ref Expression
df-on  |-  On  =  { x  |  Ord  x }

Detailed syntax breakdown of Definition df-on
StepHypRef Expression
1 con0 4329 . 2  class  On
2 vx . . . . 5  set  x
32cv 1618 . . . 4  class  x
43word 4328 . . 3  wff  Ord  x
54, 2cab 2242 . 2  class  { x  |  Ord  x }
61, 5wceq 1619 1  wff  On  =  { x  |  Ord  x }
Colors of variables: wff set class
This definition is referenced by:  elong  4337  dfon2  23482
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