Description: Class restriction distributes over intersection. (Contributed by FL, 6-Oct-2008)
Ref | Expression | ||
---|---|---|---|
Assertion | resindi | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | xpindir | |
|
2 | 1 | ineq2i | |
3 | inindi | |
|
4 | 2 3 | eqtri | |
5 | df-res | |
|
6 | df-res | |
|
7 | df-res | |
|
8 | 6 7 | ineq12i | |
9 | 4 5 8 | 3eqtr4i | |