Definition df-sdom 4511

Description: Define the strict dominance relation. Alternate possible definitions are derived as brsdom 4522 and brsdom2 4606. Definition 3 of [Suppes] p. 97.

Assertion

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

Detailed syntax breakdown of Definition df-sdom

Step	Hyp	Ref	Expression
1		csdm 4507	. 2 class ~<
2		cdom 4506	. . 3 class ~<_
3		cen 4505	. . 3 class ~~
4	2, 3	cdif 2096	. 2 class ( ~<_ \ ~~ )
5	1, 4	wceq 992	1 wff ~< = ( ~<_ \ ~~ )

This definition is referenced by:  relsdom 4515  brsdom 4522  dfdom2 4525  dfsdom2 4605

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