Definition df-sdom 4370

Description: Define the strict dominance relation. Alternate possible definitions are derived as brsdom 4381 and brsdom2 4461. Definition 3 of [Suppes] p. 97.

Assertion

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

Detailed syntax breakdown of Definition df-sdom

Step	Hyp	Ref	Expression
1		csdm 4366	. 2 class ~<
2		cdom 4365	. . 3 class ~<_
3		cen 4364	. . 3 class ~~
4	2, 3	cdif 2044	. 2 class ( ~<_ \ ~~ )
5	1, 4	wceq 956	1 wff ~< = ( ~<_ \ ~~ )

This definition is referenced by:  relsdom 4374  brsdom 4381  dfdom2 4384  dfsdom2 4460

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