Description: Value of a function given by the maps-to notation. (This is the operation analogue of fvmpt2 .) (Contributed by NM, 21-Feb-2004) (Revised by Mario Carneiro, 1-Sep-2015)
Ref | Expression | ||
---|---|---|---|
Hypothesis | ovmpt4g.3 | |
|
Assertion | ovmpt4g | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ovmpt4g.3 | |
|
2 | elisset | |
|
3 | moeq | |
|
4 | 3 | a1i | |
5 | df-mpo | |
|
6 | 1 5 | eqtri | |
7 | 4 6 | ovidi | |
8 | eqeq2 | |
|
9 | 7 8 | mpbidi | |
10 | 9 | exlimdv | |
11 | 2 10 | syl5 | |
12 | 11 | 3impia | |