Definition df-sdom 4376

Description: Define the strict dominance relation. Alternate possible definitions are derived as brsdom 4387 and brsdom2 4467. Definition 3 of [Suppes] p. 97.

Assertion

Ref	Expression
df-sdom	⊢ ≺ = ( ≼ ∖ ≈ )

Detailed syntax breakdown of Definition df-sdom

Step	Hyp	Ref	Expression
1		csdm 4372	. 2 class ≺
2		cdom 4371	. . 3 class ≼
3		cen 4370	. . 3 class ≈
4	2, 3	cdif 2047	. 2 class ( ≼ ∖ ≈ )
5	1, 4	wceq 958	1 wff ≺ = ( ≼ ∖ ≈ )

This definition is referenced by:  relsdom 4380  brsdom 4387  dfdom2 4390  dfsdom2 4466

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