Description: A condition allowing swap of uniqueness and existential quantifiers. (Contributed by Thierry Arnoux, 7-Apr-2017)
Ref | Expression | ||
---|---|---|---|
Assertion | 2reuswap2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ral | |
|
2 | moanimv | |
|
3 | 2 | albii | |
4 | 1 3 | bitr4i | |
5 | 2euswapv | |
|
6 | df-reu | |
|
7 | r19.42v | |
|
8 | df-rex | |
|
9 | 7 8 | bitr3i | |
10 | an12 | |
|
11 | 10 | exbii | |
12 | 9 11 | bitri | |
13 | 12 | eubii | |
14 | 6 13 | bitri | |
15 | df-reu | |
|
16 | r19.42v | |
|
17 | df-rex | |
|
18 | 16 17 | bitr3i | |
19 | 18 | eubii | |
20 | 15 19 | bitri | |
21 | 5 14 20 | 3imtr4g | |
22 | 4 21 | sylbi | |