ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-on Unicode version

Definition df-on 4353
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 4348 . 2  class  On
2 vx . . . . 5  setvar  x
32cv 1347 . . . 4  class  x
43word 4347 . . 3  wff  Ord  x
54, 2cab 2156 . 2  class  { x  |  Ord  x }
61, 5wceq 1348 1  wff  On  =  { x  |  Ord  x }
Colors of variables: wff set class
This definition is referenced by:  elong  4358  ordon  4470
  Copyright terms: Public domain W3C validator