Description: Define inequality. (Contributed by NM, 26-May-1993)
Ref | Expression | ||
---|---|---|---|
Assertion | df-ne | |- ( A =/= B <-> -. A = B ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
0 | cA | |- A |
|
1 | cB | |- B |
|
2 | 0 1 | wne | |- A =/= B |
3 | 0 1 | wceq | |- A = B |
4 | 3 | wn | |- -. A = B |
5 | 2 4 | wb | |- ( A =/= B <-> -. A = B ) |