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Definition df-on 5629
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 5625 . 2 class On
2 vx . . . . 5 setvar 𝑥
32cv 1473 . . . 4 class 𝑥
43word 5624 . . 3 wff Ord 𝑥
54, 2cab 2595 . 2 class {𝑥 ∣ Ord 𝑥}
61, 5wceq 1474 1 wff On = {𝑥 ∣ Ord 𝑥}
Colors of variables: wff setvar class
This definition is referenced by:  elong  5633  dfon2  30734
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