HomeHome Metamath Proof Explorer < Previous   Next >
Related theorems
Unicode version

Definition df-on 2948
Description: Define the class of all ordinal numbers. Definition 7.11 of [TakeutiZaring] p. 38.
Assertion
Ref Expression
df-on |- On = {x | Ord x}

Detailed syntax breakdown of Definition df-on
StepHypRef Expression
1 con0 2944 . 2 class On
2 vx . . . . 5 set x
32cv 954 . . . 4 class x
43word 2943 . . 3 wff Ord x
54, 2cab 1462 . 2 class {x | Ord x}
61, 5wceq 955 1 wff On = {x | Ord x}
Colors of variables: wff set class
This definition is referenced by:  elong 2952
Copyright terms: Public domain