Definition df-sdom 8900

Description: Define the strict dominance relation. Alternate possible definitions are derived as brsdom 8925 and brsdom2 9043. Definition 3 of [Suppes] p. 97. (Contributed by NM, 31-Mar-1998.)

Assertion

Ref	Expression
df-sdom	⊢ ≺ = ( ≼ ∖ ≈ )

Detailed syntax breakdown of Definition df-sdom

Step	Hyp	Ref	Expression
1		csdm 8896	. 2 class ≺
2		cdom 8895	. . 3 class ≼
3		cen 8894	. . 3 class ≈
4	2, 3	cdif 3900	. 2 class ( ≼ ∖ ≈ )
5	1, 4	wceq 1542	1 wff ≺ = ( ≼ ∖ ≈ )

This definition is referenced by:  relsdom  8904  brsdom  8925  dfdom2  8929  dfsdom2  9042