Description: The image of a quotient by the QQHom homomorphism. (Contributed by Thierry Arnoux, 28-Oct-2017)
Ref | Expression | ||
---|---|---|---|
Hypotheses | qqhval2.0 | |
|
qqhval2.1 | |
||
qqhval2.2 | |
||
Assertion | qqhvq | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | qqhval2.0 | |
|
2 | qqhval2.1 | |
|
3 | qqhval2.2 | |
|
4 | zssq | |
|
5 | simpr1 | |
|
6 | 4 5 | sselid | |
7 | simpr2 | |
|
8 | 4 7 | sselid | |
9 | simpr3 | |
|
10 | qdivcl | |
|
11 | 6 8 9 10 | syl3anc | |
12 | 1 2 3 | qqhvval | |
13 | 11 12 | syldan | |
14 | 1 2 3 | qqhval2lem | |
15 | 13 14 | eqtrd | |