Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > df-sdom | Structured version Visualization version Unicode version |
Description: Define the strict dominance relation. Alternate possible definitions are derived as brsdom 7978 and brsdom2 8084. Definition 3 of [Suppes] p. 97. (Contributed by NM, 31-Mar-1998.) |
Ref | Expression |
---|---|
df-sdom |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | csdm 7954 | . 2 | |
2 | cdom 7953 | . . 3 | |
3 | cen 7952 | . . 3 | |
4 | 2, 3 | cdif 3571 | . 2 |
5 | 1, 4 | wceq 1483 | 1 |
Colors of variables: wff setvar class |
This definition is referenced by: relsdom 7962 brsdom 7978 dfdom2 7981 dfsdom2 8083 |
Copyright terms: Public domain | W3C validator |