Description: Corollary of Theorem 6.12(1) of TakeutiZaring p. 27, analogous to tz6.12c . (Contributed by AV, 5-Sep-2022)
Ref | Expression | ||
---|---|---|---|
Assertion | tz6.12c-afv2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfeu1 | |
|
2 | nfv | |
|
3 | euex | |
|
4 | tz6.12-1-afv2 | |
|
5 | 4 | expcom | |
6 | breq2 | |
|
7 | 6 | biimprd | |
8 | 5 7 | syli | |
9 | 1 2 3 8 | exlimimdd | |
10 | 9 6 | syl5ibcom | |
11 | 10 5 | impbid | |