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Definition df-sdom 8629
Description: Define the strict dominance relation. Alternate possible definitions are derived as brsdom 8651 and brsdom2 8770. 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 8625 . 2 class
2 cdom 8624 . . 3 class
3 cen 8623 . . 3 class
42, 3cdif 3863 . 2 class ( ≼ ∖ ≈ )
51, 4wceq 1543 1 wff ≺ = ( ≼ ∖ ≈ )
Colors of variables: wff setvar class
This definition is referenced by:  relsdom  8633  brsdom  8651  dfdom2  8654  dfsdom2  8769
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