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Definition df-hf 34463
Description: Define the hereditarily finite sets. These are the finite sets whose elements are finite, and so forth. (Contributed by Scott Fenton, 9-Jul-2015.)
Assertion
Ref Expression
df-hf Hf = (𝑅1 “ ω)

Detailed syntax breakdown of Definition df-hf
StepHypRef Expression
1 chf 34462 . 2 class Hf
2 cr1 9513 . . . 4 class 𝑅1
3 com 7701 . . . 4 class ω
42, 3cima 5592 . . 3 class (𝑅1 “ ω)
54cuni 4845 . 2 class (𝑅1 “ ω)
61, 5wceq 1542 1 wff Hf = (𝑅1 “ ω)
Colors of variables: wff setvar class
This definition is referenced by:  elhf  34464
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