Description: Value of an operation precomposed with the projection on the second component. (Contributed by BJ, 27-Oct-2024)
Ref | Expression | ||
---|---|---|---|
Hypotheses | opco1.exa | |
|
opco1.exb | |
||
Assertion | opco2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | opco1.exa | |
|
2 | opco1.exb | |
|
3 | df-ov | |
|
4 | 3 | a1i | |
5 | fo2nd | |
|
6 | fof | |
|
7 | 5 6 | mp1i | |
8 | opex | |
|
9 | 8 | a1i | |
10 | 7 9 | fvco3d | |
11 | op2ndg | |
|
12 | 1 2 11 | syl2anc | |
13 | 12 | fveq2d | |
14 | 4 10 13 | 3eqtrd | |