Description: The transposition of an I X J -matrix is a J X I -matrix, see also the statement in Lang p. 505. (Contributed by Stefan O'Rear, 9-Jul-2018)
Ref | Expression | ||
---|---|---|---|
Assertion | tposmap | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elmapi | |
|
2 | tposf | |
|
3 | 1 2 | syl | |
4 | elmapex | |
|
5 | cnvxp | |
|
6 | cnvexg | |
|
7 | 5 6 | eqeltrrid | |
8 | 7 | anim2i | |
9 | elmapg | |
|
10 | 4 8 9 | 3syl | |
11 | 3 10 | mpbird | |