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Definition df-limits 32480
Description: Define the class of all limit ordinals. (Contributed by Scott Fenton, 11-Apr-2012.)
Assertion
Ref Expression
df-limits Limits = ((On ∩ Fix Bigcup ) ∖ {∅})

Detailed syntax breakdown of Definition df-limits
StepHypRef Expression
1 climits 32456 . 2 class Limits
2 con0 5941 . . . 4 class On
3 cbigcup 32454 . . . . 5 class Bigcup
43cfix 32455 . . . 4 class Fix Bigcup
52, 4cin 3768 . . 3 class (On ∩ Fix Bigcup )
6 c0 4115 . . . 4 class
76csn 4368 . . 3 class {∅}
85, 7cdif 3766 . 2 class ((On ∩ Fix Bigcup ) ∖ {∅})
91, 8wceq 1653 1 wff Limits = ((On ∩ Fix Bigcup ) ∖ {∅})
Colors of variables: wff setvar class
This definition is referenced by:  ellimits  32530  limitssson  32531
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