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Related theorems GIF version |
| Description: Define strict dominance relation. Alternate possible definitions are derived as brsdom 3286 and brsdom2 3363. Definition 3 of [Suppes] p. 97. |
| Ref | Expression |
|---|---|
| df-sdom | ⊢ ≺ = ( ≼ ∖ ≈ ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | csdm 3273 | . 2 class ≺ | |
| 2 | cdom 3272 | . . 3 class ≼ | |
| 3 | cen 3271 | . . 3 class ≈ | |
| 4 | 2, 3 | cdif 1484 | . 2 class ( ≼ ∖ ≈ ) |
| 5 | 1, 4 | wceq 1091 | 1 wff ≺ = ( ≼ ∖ ≈ ) |
| Colors of variables: wff set class |
| This definition is referenced by: relsdom 3279 brsdom 3286 dfdom2 3288 dfsdom2 3362 |