Description: Addition of positive fractions in terms of positive integers. (Contributed by Mario Carneiro, 8-May-2013) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | addpipq | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | opelxpi | |
|
2 | opelxpi | |
|
3 | addpipq2 | |
|
4 | 1 2 3 | syl2an | |
5 | op1stg | |
|
6 | op2ndg | |
|
7 | 5 6 | oveqan12d | |
8 | op1stg | |
|
9 | op2ndg | |
|
10 | 8 9 | oveqan12rd | |
11 | 7 10 | oveq12d | |
12 | 9 6 | oveqan12d | |
13 | 11 12 | opeq12d | |
14 | 4 13 | eqtrd | |