Description: The existence of a class intersection. x is normally a free-variable parameter in B , which should be read B ( x ) . (Contributed by FL, 19-Sep-2011)
Ref | Expression | ||
---|---|---|---|
Assertion | iinexg | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfiin2g | |
|
2 | 1 | adantl | |
3 | elisset | |
|
4 | 3 | rgenw | |
5 | r19.2z | |
|
6 | 4 5 | mpan2 | |
7 | r19.35 | |
|
8 | 6 7 | sylib | |
9 | 8 | imp | |
10 | rexcom4 | |
|
11 | 9 10 | sylib | |
12 | abn0 | |
|
13 | 11 12 | sylibr | |
14 | intex | |
|
15 | 13 14 | sylib | |
16 | 2 15 | eqeltrd | |