Description: Value of the matrix algebra. (Contributed by Stefan O'Rear, 4-Sep-2015)
Ref | Expression | ||
---|---|---|---|
Hypotheses | matval.a | |
|
matval.g | |
||
matval.t | |
||
Assertion | matval | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | matval.a | |
|
2 | matval.g | |
|
3 | matval.t | |
|
4 | elex | |
|
5 | id | |
|
6 | id | |
|
7 | 6 | sqxpeqd | |
8 | 5 7 | oveqan12rd | |
9 | 8 2 | eqtr4di | |
10 | 6 6 6 | oteq123d | |
11 | 5 10 | oveqan12rd | |
12 | 11 3 | eqtr4di | |
13 | 12 | opeq2d | |
14 | 9 13 | oveq12d | |
15 | df-mat | |
|
16 | ovex | |
|
17 | 14 15 16 | ovmpoa | |
18 | 4 17 | sylan2 | |
19 | 1 18 | eqtrid | |