Description: The transposition of a set is a set. (Contributed by Mario Carneiro, 10-Sep-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | tposexg | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tposssxp | |
|
2 | dmexg | |
|
3 | cnvexg | |
|
4 | 2 3 | syl | |
5 | p0ex | |
|
6 | unexg | |
|
7 | 4 5 6 | sylancl | |
8 | rnexg | |
|
9 | 7 8 | xpexd | |
10 | ssexg | |
|
11 | 1 9 10 | sylancr | |