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Definition df-sdom 7104
Description: Define the strict dominance relation. Alternate possible definitions are derived as brsdom 7122 and brsdom2 7223. 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 7100 . 2  class  ~<
2 cdom 7099 . . 3  class  ~<_
3 cen 7098 . . 3  class  ~~
42, 3cdif 3309 . 2  class  (  ~<_  \  ~~  )
51, 4wceq 1652 1  wff  ~<  =  (  ~<_  \  ~~  )
Colors of variables: wff set class
This definition is referenced by:  relsdom  7108  brsdom  7122  dfdom2  7125  dfsdom2  7222
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