Description: The transposition swaps the arguments in a two-argument function. When F is a matrix, which is to say a function from ( 1 ... m ) X. ( 1 ... n ) to RR or some ring, tpos F is the transposition of F , which is where the name comes from. (Contributed by Mario Carneiro, 10-Sep-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | ovtpos | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | brtpos | |
|
2 | 1 | elv | |
3 | 2 | iotabii | |
4 | df-fv | |
|
5 | df-fv | |
|
6 | 3 4 5 | 3eqtr4i | |
7 | df-ov | |
|
8 | df-ov | |
|
9 | 6 7 8 | 3eqtr4i | |