Description: A weak universe is closed under transposition. (Contributed by Mario Carneiro, 12-Jan-2017)
Ref | Expression | ||
---|---|---|---|
Hypotheses | wun0.1 | |
|
wunop.2 | |
||
Assertion | wuntpos | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wun0.1 | |
|
2 | wunop.2 | |
|
3 | 1 2 | wundm | |
4 | 1 3 | wuncnv | |
5 | 1 | wun0 | |
6 | 1 5 | wunsn | |
7 | 1 4 6 | wunun | |
8 | 1 2 | wunrn | |
9 | 1 7 8 | wunxp | |
10 | tposssxp | |
|
11 | 10 | a1i | |
12 | 1 9 11 | wunss | |