Description: An entry of a matrix for a minor. (Contributed by AV, 31-Dec-2018)
Ref | Expression | ||
---|---|---|---|
Hypotheses | minmar1fval.a | |
|
minmar1fval.b | |
||
minmar1fval.q | |
||
minmar1fval.o | |
||
minmar1fval.z | |
||
Assertion | minmar1eval | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | minmar1fval.a | |
|
2 | minmar1fval.b | |
|
3 | minmar1fval.q | |
|
4 | minmar1fval.o | |
|
5 | minmar1fval.z | |
|
6 | 1 2 3 4 5 | minmar1val | |
7 | 6 | 3expb | |
8 | 7 | 3adant3 | |
9 | simp3l | |
|
10 | simpl3r | |
|
11 | 4 | fvexi | |
12 | 5 | fvexi | |
13 | 11 12 | ifex | |
14 | ovex | |
|
15 | 13 14 | ifex | |
16 | 15 | a1i | |
17 | eqeq1 | |
|
18 | 17 | adantr | |
19 | eqeq1 | |
|
20 | 19 | adantl | |
21 | 20 | ifbid | |
22 | oveq12 | |
|
23 | 18 21 22 | ifbieq12d | |
24 | 23 | adantl | |
25 | 9 10 16 24 | ovmpodv2 | |
26 | 8 25 | mpd | |