Description: Lemma for prter2 . (Contributed by Rodolfo Medina, 15-Oct-2010)
Ref | Expression | ||
---|---|---|---|
Assertion | prtlem17 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rex | |
|
2 | an32 | |
|
3 | prtlem14 | |
|
4 | elequ2 | |
|
5 | 4 | biimprd | |
6 | 3 5 | syl8 | |
7 | 6 | exp4a | |
8 | 7 | impd | |
9 | 2 8 | syl5bir | |
10 | 9 | expd | |
11 | 10 | imp5a | |
12 | 11 | imp4b | |
13 | 12 | exlimdv | |
14 | 1 13 | syl5bi | |
15 | 14 | ex | |