Step |
Hyp |
Ref |
Expression |
1 |
|
caubl.2 |
|
2 |
|
caubl.3 |
|
3 |
|
caubl.4 |
|
4 |
|
caubl.5 |
|
5 |
|
2fveq3 |
|
6 |
5
|
sseq1d |
|
7 |
6
|
imbi2d |
|
8 |
|
2fveq3 |
|
9 |
8
|
sseq1d |
|
10 |
9
|
imbi2d |
|
11 |
|
2fveq3 |
|
12 |
11
|
sseq1d |
|
13 |
12
|
imbi2d |
|
14 |
|
ssid |
|
15 |
14
|
2a1i |
|
16 |
|
eluznn |
|
17 |
|
fvoveq1 |
|
18 |
17
|
fveq2d |
|
19 |
|
2fveq3 |
|
20 |
18 19
|
sseq12d |
|
21 |
20
|
rspccva |
|
22 |
3 16 21
|
syl2an |
|
23 |
22
|
anassrs |
|
24 |
|
sstr2 |
|
25 |
23 24
|
syl |
|
26 |
25
|
expcom |
|
27 |
26
|
a2d |
|
28 |
7 10 13 10 15 27
|
uzind4 |
|
29 |
28
|
com12 |
|
30 |
29
|
ad2ant2r |
|
31 |
|
relxp |
|
32 |
2
|
ad3antrrr |
|
33 |
|
simplrl |
|
34 |
32 33
|
ffvelrnd |
|
35 |
|
1st2nd |
|
36 |
31 34 35
|
sylancr |
|
37 |
36
|
fveq2d |
|
38 |
|
df-ov |
|
39 |
37 38
|
eqtr4di |
|
40 |
1
|
ad3antrrr |
|
41 |
|
xp1st |
|
42 |
34 41
|
syl |
|
43 |
|
xp2nd |
|
44 |
34 43
|
syl |
|
45 |
44
|
rpxrd |
|
46 |
|
simpllr |
|
47 |
46
|
rpxrd |
|
48 |
|
simplrr |
|
49 |
|
rpre |
|
50 |
|
rpre |
|
51 |
|
ltle |
|
52 |
49 50 51
|
syl2an |
|
53 |
44 46 52
|
syl2anc |
|
54 |
48 53
|
mpd |
|
55 |
|
ssbl |
|
56 |
40 42 45 47 54 55
|
syl221anc |
|
57 |
39 56
|
eqsstrd |
|
58 |
|
sstr2 |
|
59 |
57 58
|
syl5com |
|
60 |
|
simprl |
|
61 |
60 16
|
sylan |
|
62 |
32 61
|
ffvelrnd |
|
63 |
|
xp1st |
|
64 |
62 63
|
syl |
|
65 |
|
xp2nd |
|
66 |
62 65
|
syl |
|
67 |
|
blcntr |
|
68 |
40 64 66 67
|
syl3anc |
|
69 |
|
1st2nd |
|
70 |
31 62 69
|
sylancr |
|
71 |
70
|
fveq2d |
|
72 |
|
df-ov |
|
73 |
71 72
|
eqtr4di |
|
74 |
68 73
|
eleqtrrd |
|
75 |
|
ssel |
|
76 |
59 74 75
|
syl6ci |
|
77 |
|
elbl2 |
|
78 |
40 47 42 64 77
|
syl22anc |
|
79 |
76 78
|
sylibd |
|
80 |
79
|
ex |
|
81 |
30 80
|
mpdd |
|
82 |
81
|
ralrimiv |
|
83 |
82
|
expr |
|
84 |
83
|
reximdva |
|
85 |
84
|
ralimdva |
|
86 |
4 85
|
mpd |
|
87 |
|
nnuz |
|
88 |
|
1zzd |
|
89 |
|
fvco3 |
|
90 |
2 89
|
sylan |
|
91 |
|
fvco3 |
|
92 |
2 91
|
sylan |
|
93 |
|
1stcof |
|
94 |
2 93
|
syl |
|
95 |
87 1 88 90 92 94
|
iscauf |
|
96 |
86 95
|
mpbird |
|