Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > df-dom | Unicode version |
Description: Define the dominance relation. Compare Definition of [Enderton] p. 145. Typical textbook definitions are derived as brdom 6612 and domen 6613. (Contributed by NM, 28-Mar-1998.) |
Ref | Expression |
---|---|
df-dom |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cdom 6601 | . 2 | |
2 | vx | . . . . . 6 | |
3 | 2 | cv 1315 | . . . . 5 |
4 | vy | . . . . . 6 | |
5 | 4 | cv 1315 | . . . . 5 |
6 | vf | . . . . . 6 | |
7 | 6 | cv 1315 | . . . . 5 |
8 | 3, 5, 7 | wf1 5090 | . . . 4 |
9 | 8, 6 | wex 1453 | . . 3 |
10 | 9, 2, 4 | copab 3958 | . 2 |
11 | 1, 10 | wceq 1316 | 1 |
Colors of variables: wff set class |
This definition is referenced by: reldom 6607 brdomg 6610 enssdom 6624 |
Copyright terms: Public domain | W3C validator |