Definition df-sdom 9001

Description: Define the strict dominance relation. Alternate possible definitions are derived as brsdom 9026 and brsdom2 9145. 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 8997	. 2 class ≺
2		cdom 8996	. . 3 class ≼
3		cen 8995	. . 3 class ≈
4	2, 3	cdif 4048	. 2 class ( ≼ ∖ ≈ )
5	1, 4	wceq 1570	1 wff ≺ = ( ≼ ∖ ≈ )

This definition is used by:  relsdom  9005  brsdom  9026  dfdom2  9030  dfsdom2  9144