Description: A definition of function value in terms of iota. (Contributed by Scott Fenton, 19-Feb-2013)
Ref | Expression | ||
---|---|---|---|
Assertion | dffv3 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-fv | |
|
2 | elimasng | |
|
3 | df-br | |
|
4 | 2 3 | bitr4di | |
5 | 4 | elvd | |
6 | 5 | iotabidv | |
7 | 1 6 | eqtr4id | |
8 | fvprc | |
|
9 | snprc | |
|
10 | 9 | biimpi | |
11 | 10 | imaeq2d | |
12 | ima0 | |
|
13 | 11 12 | eqtrdi | |
14 | 13 | eleq2d | |
15 | 14 | iotabidv | |
16 | noel | |
|
17 | 16 | nex | |
18 | euex | |
|
19 | 17 18 | mto | |
20 | iotanul | |
|
21 | 19 20 | ax-mp | |
22 | 15 21 | eqtrdi | |
23 | 8 22 | eqtr4d | |
24 | 7 23 | pm2.61i | |