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 ≺ = ( ≼ ∖ ≈ )

Detailed syntax breakdown

Step Hyp Ref Expression
0 csdm
1 cdom
2 cen
3 1 2 cdif ( ≼ ∖ ≈ )
4 0 3 wceq ≺ = ( ≼ ∖ ≈ )