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Definition df-wsucOLD 31757
Description: Define the concept of a successor in a well-founded set. (Contributed by Scott Fenton, 13-Jun-2018.) Obsolete version of df-wsuc 31756 as of 10-Oct-2021. (New usage is discouraged.)
Assertion
Ref Expression
df-wsucOLD  |- wsucOLD ( R ,  A ,  X
)  =  sup ( Pred ( `' R ,  A ,  X ) ,  A ,  `' R
)

Detailed syntax breakdown of Definition df-wsucOLD
StepHypRef Expression
1 cA . . 3  class  A
2 cR . . 3  class  R
3 cX . . 3  class  X
41, 2, 3cwsucOLD 31753 . 2  class wsucOLD ( R ,  A ,  X )
52ccnv 5113 . . . 4  class  `' R
61, 5, 3cpred 5679 . . 3  class  Pred ( `' R ,  A ,  X )
76, 1, 5csup 8346 . 2  class  sup ( Pred ( `' R ,  A ,  X ) ,  A ,  `' R
)
84, 7wceq 1483 1  wff wsucOLD ( R ,  A ,  X
)  =  sup ( Pred ( `' R ,  A ,  X ) ,  A ,  `' R
)
Colors of variables: wff setvar class
This definition is referenced by: (None)
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