Definition df-sdom

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

	Ref	Expression
Assertion	df-sdom	|- ~< = ( ~<_ \ ~~ )

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		csdm	|- ~<
1		cdom	|- ~<_
2		cen	|- ~~
3	1 2	cdif	|- ( ~<_ \ ~~ )
4	0 3	wceq	|- ~< = ( ~<_ \ ~~ )