Description: Multiplication of two matrices. (Contributed by Stefan O'Rear, 2-Sep-2015)
Ref | Expression | ||
---|---|---|---|
Hypotheses | mamufval.f | |
|
mamufval.b | |
||
mamufval.t | |
||
mamufval.r | |
||
mamufval.m | |
||
mamufval.n | |
||
mamufval.p | |
||
mamuval.x | |
||
mamuval.y | |
||
Assertion | mamuval | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mamufval.f | |
|
2 | mamufval.b | |
|
3 | mamufval.t | |
|
4 | mamufval.r | |
|
5 | mamufval.m | |
|
6 | mamufval.n | |
|
7 | mamufval.p | |
|
8 | mamuval.x | |
|
9 | mamuval.y | |
|
10 | 1 2 3 4 5 6 7 | mamufval | |
11 | oveq | |
|
12 | oveq | |
|
13 | 11 12 | oveqan12d | |
14 | 13 | adantl | |
15 | 14 | mpteq2dv | |
16 | 15 | oveq2d | |
17 | 16 | mpoeq3dv | |
18 | mpoexga | |
|
19 | 5 7 18 | syl2anc | |
20 | 10 17 8 9 19 | ovmpod | |