Step |
Hyp |
Ref |
Expression |
1 |
|
tendosp.h |
|
2 |
|
tendosp.t |
|
3 |
|
tendosp.e |
|
4 |
|
simp1 |
|
5 |
1 2 3
|
tendocl |
|
6 |
|
eqid |
|
7 |
6 1 2
|
ltrn1o |
|
8 |
4 5 7
|
syl2anc |
|
9 |
|
f1ococnv1 |
|
10 |
8 9
|
syl |
|
11 |
10
|
coeq1d |
|
12 |
|
simp2 |
|
13 |
6 1 3
|
tendoid |
|
14 |
4 12 13
|
syl2anc |
|
15 |
6 1 2
|
ltrn1o |
|
16 |
15
|
3adant2 |
|
17 |
|
f1ococnv2 |
|
18 |
16 17
|
syl |
|
19 |
18
|
fveq2d |
|
20 |
|
f1ococnv2 |
|
21 |
8 20
|
syl |
|
22 |
14 19 21
|
3eqtr4rd |
|
23 |
|
simp3 |
|
24 |
1 2
|
ltrncnv |
|
25 |
24
|
3adant2 |
|
26 |
1 2 3
|
tendospdi1 |
|
27 |
4 12 23 25 26
|
syl13anc |
|
28 |
22 27
|
eqtrd |
|
29 |
28
|
coeq2d |
|
30 |
|
coass |
|
31 |
|
coass |
|
32 |
29 30 31
|
3eqtr4g |
|
33 |
10
|
coeq1d |
|
34 |
1 2 3
|
tendocl |
|
35 |
25 34
|
syld3an3 |
|
36 |
6 1 2
|
ltrn1o |
|
37 |
4 35 36
|
syl2anc |
|
38 |
|
f1of |
|
39 |
|
fcoi2 |
|
40 |
37 38 39
|
3syl |
|
41 |
32 33 40
|
3eqtrd |
|
42 |
1 2
|
ltrncnv |
|
43 |
4 5 42
|
syl2anc |
|
44 |
6 1 2
|
ltrn1o |
|
45 |
4 43 44
|
syl2anc |
|
46 |
|
f1of |
|
47 |
|
fcoi2 |
|
48 |
45 46 47
|
3syl |
|
49 |
11 41 48
|
3eqtr3rd |
|