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Definition df-sdom 8942
Description: Define the strict dominance relation. Alternate possible definitions are derived as brsdom 8971 and brsdom2 9097. 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 8938 . 2 class
2 cdom 8937 . . 3 class
3 cen 8936 . . 3 class
42, 3cdif 3946 . 2 class ( ≼ ∖ ≈ )
51, 4wceq 1542 1 wff ≺ = ( ≼ ∖ ≈ )
Colors of variables: wff setvar class
This definition is referenced by:  relsdom  8946  brsdom  8971  dfdom2  8974  dfsdom2  9096
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