Step |
Hyp |
Ref |
Expression |
1 |
|
mgmhmrcl |
|
2 |
1
|
simprd |
|
3 |
|
mgmhmrcl |
|
4 |
3
|
simpld |
|
5 |
2 4
|
anim12ci |
|
6 |
|
eqid |
|
7 |
|
eqid |
|
8 |
6 7
|
mgmhmf |
|
9 |
|
eqid |
|
10 |
9 6
|
mgmhmf |
|
11 |
|
fco |
|
12 |
8 10 11
|
syl2an |
|
13 |
|
eqid |
|
14 |
|
eqid |
|
15 |
9 13 14
|
mgmhmlin |
|
16 |
15
|
3expb |
|
17 |
16
|
adantll |
|
18 |
17
|
fveq2d |
|
19 |
|
simpll |
|
20 |
10
|
ad2antlr |
|
21 |
|
simprl |
|
22 |
20 21
|
ffvelrnd |
|
23 |
|
simprr |
|
24 |
20 23
|
ffvelrnd |
|
25 |
|
eqid |
|
26 |
6 14 25
|
mgmhmlin |
|
27 |
19 22 24 26
|
syl3anc |
|
28 |
18 27
|
eqtrd |
|
29 |
4
|
adantl |
|
30 |
9 13
|
mgmcl |
|
31 |
30
|
3expb |
|
32 |
29 31
|
sylan |
|
33 |
|
fvco3 |
|
34 |
20 32 33
|
syl2anc |
|
35 |
|
fvco3 |
|
36 |
20 21 35
|
syl2anc |
|
37 |
|
fvco3 |
|
38 |
20 23 37
|
syl2anc |
|
39 |
36 38
|
oveq12d |
|
40 |
28 34 39
|
3eqtr4d |
|
41 |
40
|
ralrimivva |
|
42 |
12 41
|
jca |
|
43 |
9 7 13 25
|
ismgmhm |
|
44 |
5 42 43
|
sylanbrc |
|