Step |
Hyp |
Ref |
Expression |
1 |
|
clcnvlem.sub1 |
|
2 |
|
clcnvlem.sub2 |
|
3 |
|
clcnvlem.sub3 |
|
4 |
|
clcnvlem.ssub |
|
5 |
|
clcnvlem.ubex |
|
6 |
|
clcnvlem.clex |
|
7 |
4 6
|
jca |
|
8 |
3
|
cleq2lem |
|
9 |
5 7 8
|
spcedv |
|
10 |
9
|
cnvintabd |
|
11 |
|
df-rab |
|
12 |
|
exsimpl |
|
13 |
|
relcnv |
|
14 |
|
releq |
|
15 |
13 14
|
mpbiri |
|
16 |
15
|
exlimiv |
|
17 |
12 16
|
syl |
|
18 |
|
df-rel |
|
19 |
17 18
|
sylib |
|
20 |
|
velpw |
|
21 |
20
|
bicomi |
|
22 |
19 21
|
sylib |
|
23 |
22
|
pm4.71ri |
|
24 |
23
|
bicomi |
|
25 |
24
|
abbii |
|
26 |
11 25
|
eqtri |
|
27 |
26
|
inteqi |
|
28 |
27
|
a1i |
|
29 |
|
vex |
|
30 |
29
|
cnvex |
|
31 |
30
|
cnvex |
|
32 |
31
|
a1i |
|
33 |
5 4
|
ssexd |
|
34 |
33
|
difexd |
|
35 |
|
unexg |
|
36 |
30 34 35
|
sylancr |
|
37 |
|
inundif |
|
38 |
|
cnvun |
|
39 |
38
|
sseq1i |
|
40 |
39
|
biimpi |
|
41 |
40
|
unssad |
|
42 |
|
relcnv |
|
43 |
|
relin2 |
|
44 |
42 43
|
ax-mp |
|
45 |
|
dfrel2 |
|
46 |
44 45
|
mpbi |
|
47 |
|
cnvss |
|
48 |
46 47
|
eqsstrrid |
|
49 |
41 48
|
syl |
|
50 |
|
ssid |
|
51 |
|
unss12 |
|
52 |
49 50 51
|
sylancl |
|
53 |
52
|
a1i |
|
54 |
|
cnveq |
|
55 |
54
|
sseq1d |
|
56 |
|
sseq1 |
|
57 |
53 55 56
|
3imtr3d |
|
58 |
37 57
|
ax-mp |
|
59 |
|
sseq2 |
|
60 |
58 59
|
syl5ibr |
|
61 |
60
|
adantl |
|
62 |
61 1
|
anim12d |
|
63 |
|
cnvun |
|
64 |
|
cnvnonrel |
|
65 |
|
0ss |
|
66 |
64 65
|
eqsstri |
|
67 |
|
ssequn2 |
|
68 |
66 67
|
mpbi |
|
69 |
63 68
|
eqtr2i |
|
70 |
|
cnveq |
|
71 |
69 70
|
eqtr4id |
|
72 |
71
|
adantl |
|
73 |
62 72
|
jctild |
|
74 |
36 73
|
spcimedv |
|
75 |
74
|
imp |
|
76 |
75
|
adantlr |
|
77 |
|
eqeq1 |
|
78 |
77
|
anbi1d |
|
79 |
78
|
exbidv |
|
80 |
79
|
ad2antlr |
|
81 |
76 80
|
mpbird |
|
82 |
81
|
ex |
|
83 |
|
cnvcnvss |
|
84 |
83
|
a1i |
|
85 |
32 82 84
|
intabssd |
|
86 |
|
vex |
|
87 |
86
|
a1i |
|
88 |
|
eqtr |
|
89 |
|
cnvss |
|
90 |
|
sseq2 |
|
91 |
89 90
|
syl5ibr |
|
92 |
91
|
adantl |
|
93 |
92 2
|
anim12d |
|
94 |
93
|
ex |
|
95 |
88 94
|
syl5 |
|
96 |
95
|
impl |
|
97 |
96
|
expimpd |
|
98 |
97
|
exlimdv |
|
99 |
|
ssid |
|
100 |
99
|
a1i |
|
101 |
87 98 100
|
intabssd |
|
102 |
85 101
|
eqssd |
|
103 |
10 28 102
|
3eqtrd |
|