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 | ⊢ ≺ = ( ≼ ∖ ≈ ) |