Description: Value of the functor restriction operator on objects. (Contributed by Mario Carneiro, 6-Jan-2017)
Ref | Expression | ||
---|---|---|---|
Hypotheses | resf1st.f | |
|
resf1st.h | |
||
resf1st.s | |
||
Assertion | resf1st | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | resf1st.f | |
|
2 | resf1st.h | |
|
3 | resf1st.s | |
|
4 | 1 2 | resfval | |
5 | 4 | fveq2d | |
6 | fvex | |
|
7 | 6 | resex | |
8 | dmexg | |
|
9 | mptexg | |
|
10 | 2 8 9 | 3syl | |
11 | op1stg | |
|
12 | 7 10 11 | sylancr | |
13 | 3 | fndmd | |
14 | 13 | dmeqd | |
15 | dmxpid | |
|
16 | 14 15 | eqtrdi | |
17 | 16 | reseq2d | |
18 | 5 12 17 | 3eqtrd | |