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Definition df-sdom 7821
Description: Define the strict dominance relation. Alternate possible definitions are derived as brsdom 7841 and brsdom2 7946. 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 7817 . 2 class
2 cdom 7816 . . 3 class
3 cen 7815 . . 3 class
42, 3cdif 3536 . 2 class ( ≼ ∖ ≈ )
51, 4wceq 1474 1 wff ≺ = ( ≼ ∖ ≈ )
Colors of variables: wff setvar class
This definition is referenced by:  relsdom  7825  brsdom  7841  dfdom2  7844  dfsdom2  7945
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