Definition df-sdom 7148

Description: Define the strict dominance relation. Alternate possible definitions are derived as brsdom 7166 and brsdom2 7267. 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 7144	. 2 class ~<
2		cdom 7143	. . 3 class ~<_
3		cen 7142	. . 3 class ~~
4	2, 3	cdif 3306	. 2 class ( ~<_ \ ~~ )
5	1, 4	wceq 1654	1 wff ~< = ( ~<_ \ ~~ )

This definition is referenced by:  relsdom  7152  brsdom  7166  dfdom2  7169  dfsdom2  7266