This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

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	$⊢ ≺ = ≼ ∖ \approx$

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		csdm	$class ≺$
1		cdom	$class ≼$
2		cen	$class \approx$
3	1 2	cdif	$class (≼ ∖ \approx)$
4	0 3	wceq	$wff ≺ = ≼ ∖ \approx$