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Definition df-sdom 7050
Description: Define the strict dominance relation. Alternate possible definitions are derived as brsdom 7068 and brsdom2 7169. Definition 3 of [Suppes] p. 97. (Contributed by NM, 31-Mar-1998.)
Assertion
Ref Expression
df-sdom  |-  ~<  =  (  ~<_  \  ~~  )

Detailed syntax breakdown of Definition df-sdom
StepHypRef Expression
1 csdm 7046 . 2  class  ~<
2 cdom 7045 . . 3  class  ~<_
3 cen 7044 . . 3  class  ~~
42, 3cdif 3262 . 2  class  (  ~<_  \  ~~  )
51, 4wceq 1649 1  wff  ~<  =  (  ~<_  \  ~~  )
Colors of variables: wff set class
This definition is referenced by:  relsdom  7054  brsdom  7068  dfdom2  7071  dfsdom2  7168
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