Step |
Hyp |
Ref |
Expression |
1 |
|
tendoicl.h |
|
2 |
|
tendoicl.t |
|
3 |
|
tendoicl.e |
|
4 |
|
tendoicl.i |
|
5 |
|
eqid |
|
6 |
|
eqid |
|
7 |
|
simpl |
|
8 |
|
simpll |
|
9 |
1 2 3
|
tendocl |
|
10 |
9
|
3expa |
|
11 |
1 2
|
ltrncnv |
|
12 |
8 10 11
|
syl2anc |
|
13 |
12
|
fmpttd |
|
14 |
4 2
|
tendoi |
|
15 |
14
|
adantl |
|
16 |
15
|
feq1d |
|
17 |
13 16
|
mpbird |
|
18 |
|
simp1r |
|
19 |
1 2
|
ltrnco |
|
20 |
19
|
3adant1r |
|
21 |
4 2
|
tendoi2 |
|
22 |
18 20 21
|
syl2anc |
|
23 |
|
cnvco |
|
24 |
1 2
|
ltrncom |
|
25 |
24
|
3adant1r |
|
26 |
25
|
fveq2d |
|
27 |
|
simp1ll |
|
28 |
|
simp1lr |
|
29 |
|
simp3 |
|
30 |
|
simp2 |
|
31 |
1 2 3
|
tendovalco |
|
32 |
27 28 18 29 30 31
|
syl32anc |
|
33 |
26 32
|
eqtrd |
|
34 |
33
|
cnveqd |
|
35 |
4 2
|
tendoi2 |
|
36 |
18 30 35
|
syl2anc |
|
37 |
4 2
|
tendoi2 |
|
38 |
18 29 37
|
syl2anc |
|
39 |
36 38
|
coeq12d |
|
40 |
23 34 39
|
3eqtr4a |
|
41 |
22 40
|
eqtrd |
|
42 |
35
|
adantll |
|
43 |
42
|
fveq2d |
|
44 |
1 2 6
|
trlcnv |
|
45 |
8 10 44
|
syl2anc |
|
46 |
43 45
|
eqtrd |
|
47 |
5 1 2 6 3
|
tendotp |
|
48 |
47
|
3expa |
|
49 |
46 48
|
eqbrtrd |
|
50 |
5 1 2 6 3 7 17 41 49
|
istendod |
|