Description: The matrix transformation is a function from the matrices to the polynomial matrices. (Contributed by AV, 27-Oct-2019)
Ref | Expression | ||
---|---|---|---|
Hypotheses | mat2pmatbas.t | |
|
mat2pmatbas.a | |
||
mat2pmatbas.b | |
||
mat2pmatbas.p | |
||
mat2pmatbas.c | |
||
mat2pmatbas0.h | |
||
Assertion | mat2pmatf | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mat2pmatbas.t | |
|
2 | mat2pmatbas.a | |
|
3 | mat2pmatbas.b | |
|
4 | mat2pmatbas.p | |
|
5 | mat2pmatbas.c | |
|
6 | mat2pmatbas0.h | |
|
7 | simpl | |
|
8 | 7 7 | jca | |
9 | 8 | adantr | |
10 | mpoexga | |
|
11 | 9 10 | syl | |
12 | eqid | |
|
13 | 1 2 3 4 12 | mat2pmatfval | |
14 | 1 2 3 4 5 6 | mat2pmatbas0 | |
15 | 14 | 3expa | |
16 | 11 13 15 | fmpt2d | |