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