Definition df-sdom 8745

Description: Define the strict dominance relation. Alternate possible definitions are derived as brsdom 8772 and brsdom2 8893. 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 8741	. 2 class ≺
2		cdom 8740	. . 3 class ≼
3		cen 8739	. . 3 class ≈
4	2, 3	cdif 3885	. 2 class ( ≼ ∖ ≈ )
5	1, 4	wceq 1539	1 wff ≺ = ( ≼ ∖ ≈ )

This definition is referenced by:  relsdom  8749  brsdom  8772  dfdom2  8775  dfsdom2  8892