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Definition df-limits 31967
Description: Define the class of all limit ordinals. (Contributed by Scott Fenton, 11-Apr-2012.)
Assertion
Ref Expression
df-limits  |-  Limits  =  ( ( On  i^i  Fix Bigcup )  \  { (/) } )

Detailed syntax breakdown of Definition df-limits
StepHypRef Expression
1 climits 31943 . 2  class  Limits
2 con0 5723 . . . 4  class  On
3 cbigcup 31941 . . . . 5  class  Bigcup
43cfix 31942 . . . 4  class  Fix Bigcup
52, 4cin 3573 . . 3  class  ( On 
i^i  Fix Bigcup )
6 c0 3915 . . . 4  class  (/)
76csn 4177 . . 3  class  { (/) }
85, 7cdif 3571 . 2  class  ( ( On  i^i  Fix Bigcup ) 
\  { (/) } )
91, 8wceq 1483 1  wff  Limits  =  ( ( On  i^i  Fix Bigcup )  \  { (/) } )
Colors of variables: wff setvar class
This definition is referenced by:  ellimits  32017  limitssson  32018
  Copyright terms: Public domain W3C validator