Definition df-sdom 8939

Description: Define the strict dominance relation. Alternate possible definitions are derived as brsdom 8968 and brsdom2 9094. 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 8935	. 2 class ≺
2		cdom 8934	. . 3 class ≼
3		cen 8933	. . 3 class ≈
4	2, 3	cdif 3945	. 2 class ( ≼ ∖ ≈ )
5	1, 4	wceq 1542	1 wff ≺ = ( ≼ ∖ ≈ )

This definition is referenced by:  relsdom  8943  brsdom  8968  dfdom2  8971  dfsdom2  9093