Description: Corollary of nqereu : the function /Q acts as the identity on members of Q. . (Contributed by Mario Carneiro, 6-May-2013) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | nqerid | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nqerf | |
|
2 | ffun | |
|
3 | 1 2 | ax-mp | |
4 | elpqn | |
|
5 | id | |
|
6 | enqer | |
|
7 | 6 | a1i | |
8 | 7 4 | erref | |
9 | df-erq | |
|
10 | 9 | breqi | |
11 | brinxp2 | |
|
12 | 10 11 | bitri | |
13 | 4 5 8 12 | syl21anbrc | |
14 | funbrfv | |
|
15 | 3 13 14 | mpsyl | |