Description: Value of the evaluation functor at an object. (Contributed by Mario Carneiro, 12-Jan-2017)
Ref | Expression | ||
---|---|---|---|
Hypotheses | evlf1.e | |
|
evlf1.c | |
||
evlf1.d | |
||
evlf1.b | |
||
evlf1.f | |
||
evlf1.x | |
||
Assertion | evlf1 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | evlf1.e | |
|
2 | evlf1.c | |
|
3 | evlf1.d | |
|
4 | evlf1.b | |
|
5 | evlf1.f | |
|
6 | evlf1.x | |
|
7 | eqid | |
|
8 | eqid | |
|
9 | eqid | |
|
10 | 1 2 3 4 7 8 9 | evlfval | |
11 | ovex | |
|
12 | 4 | fvexi | |
13 | 11 12 | mpoex | |
14 | 11 12 | xpex | |
15 | 14 14 | mpoex | |
16 | 13 15 | op1std | |
17 | 10 16 | syl | |
18 | simprl | |
|
19 | 18 | fveq2d | |
20 | simprr | |
|
21 | 19 20 | fveq12d | |
22 | fvexd | |
|
23 | 17 21 5 6 22 | ovmpod | |