Step |
Hyp |
Ref |
Expression |
1 |
|
trlcoat.a |
|
2 |
|
trlcoat.h |
|
3 |
|
trlcoat.t |
|
4 |
|
trlcoat.r |
|
5 |
2 3
|
ltrnco |
|
6 |
5
|
3expb |
|
7 |
|
eqid |
|
8 |
|
eqid |
|
9 |
7 8 2 3 4
|
trlid0b |
|
10 |
6 9
|
syldan |
|
11 |
|
coass |
|
12 |
|
simpll |
|
13 |
|
simplrl |
|
14 |
7 2 3
|
ltrn1o |
|
15 |
12 13 14
|
syl2anc |
|
16 |
|
f1ococnv1 |
|
17 |
15 16
|
syl |
|
18 |
17
|
coeq1d |
|
19 |
|
coeq2 |
|
20 |
19
|
adantl |
|
21 |
11 18 20
|
3eqtr3a |
|
22 |
|
simplrr |
|
23 |
7 2 3
|
ltrn1o |
|
24 |
12 22 23
|
syl2anc |
|
25 |
|
f1of |
|
26 |
|
fcoi2 |
|
27 |
24 25 26
|
3syl |
|
28 |
2 3
|
ltrncnv |
|
29 |
12 13 28
|
syl2anc |
|
30 |
7 2 3
|
ltrn1o |
|
31 |
12 29 30
|
syl2anc |
|
32 |
|
f1of |
|
33 |
|
fcoi1 |
|
34 |
31 32 33
|
3syl |
|
35 |
21 27 34
|
3eqtr3d |
|
36 |
35
|
fveq2d |
|
37 |
2 3 4
|
trlcnv |
|
38 |
12 13 37
|
syl2anc |
|
39 |
36 38
|
eqtr2d |
|
40 |
39
|
ex |
|
41 |
10 40
|
sylbird |
|
42 |
41
|
necon3d |
|
43 |
8 1 2 3 4
|
trlatn0 |
|
44 |
6 43
|
syldan |
|
45 |
42 44
|
sylibrd |
|
46 |
45
|
3impia |
|