Step |
Hyp |
Ref |
Expression |
1 |
|
dibintcl.h |
|
2 |
|
dibintcl.i |
|
3 |
1 2
|
dibf11N |
|
4 |
3
|
adantr |
|
5 |
|
f1ofn |
|
6 |
4 5
|
syl |
|
7 |
|
cnvimass |
|
8 |
|
fnssres |
|
9 |
6 7 8
|
sylancl |
|
10 |
|
fniinfv |
|
11 |
9 10
|
syl |
|
12 |
|
df-ima |
|
13 |
|
f1ofo |
|
14 |
3 13
|
syl |
|
15 |
14
|
adantr |
|
16 |
|
simprl |
|
17 |
|
foimacnv |
|
18 |
15 16 17
|
syl2anc |
|
19 |
12 18
|
syl5eqr |
|
20 |
19
|
inteqd |
|
21 |
11 20
|
eqtrd |
|
22 |
|
simpl |
|
23 |
7
|
a1i |
|
24 |
|
simprr |
|
25 |
|
n0 |
|
26 |
24 25
|
sylib |
|
27 |
16
|
sselda |
|
28 |
3
|
ad2antrr |
|
29 |
28 5
|
syl |
|
30 |
|
fvelrnb |
|
31 |
29 30
|
syl |
|
32 |
27 31
|
mpbid |
|
33 |
|
f1ofun |
|
34 |
3 33
|
syl |
|
35 |
34
|
adantr |
|
36 |
|
fvimacnv |
|
37 |
35 36
|
sylan |
|
38 |
|
ne0i |
|
39 |
37 38
|
syl6bi |
|
40 |
39
|
ex |
|
41 |
|
eleq1 |
|
42 |
41
|
biimprd |
|
43 |
42
|
imim1d |
|
44 |
40 43
|
syl9 |
|
45 |
44
|
com24 |
|
46 |
45
|
imp |
|
47 |
46
|
rexlimdv |
|
48 |
32 47
|
mpd |
|
49 |
26 48
|
exlimddv |
|
50 |
|
eqid |
|
51 |
50 1 2
|
dibglbN |
|
52 |
22 23 49 51
|
syl12anc |
|
53 |
|
fvres |
|
54 |
53
|
iineq2i |
|
55 |
52 54
|
eqtr4di |
|
56 |
|
hlclat |
|
57 |
56
|
ad2antrr |
|
58 |
|
eqid |
|
59 |
|
eqid |
|
60 |
58 59 1 2
|
dibdmN |
|
61 |
|
ssrab2 |
|
62 |
60 61
|
eqsstrdi |
|
63 |
62
|
adantr |
|
64 |
7 63
|
sstrid |
|
65 |
58 50
|
clatglbcl |
|
66 |
57 64 65
|
syl2anc |
|
67 |
|
n0 |
|
68 |
49 67
|
sylib |
|
69 |
|
hllat |
|
70 |
69
|
ad3antrrr |
|
71 |
66
|
adantr |
|
72 |
64
|
sselda |
|
73 |
58 1
|
lhpbase |
|
74 |
73
|
ad3antlr |
|
75 |
56
|
ad3antrrr |
|
76 |
60
|
adantr |
|
77 |
7 76
|
sseqtrid |
|
78 |
77 61
|
sstrdi |
|
79 |
78
|
adantr |
|
80 |
|
simpr |
|
81 |
58 59 50
|
clatglble |
|
82 |
75 79 80 81
|
syl3anc |
|
83 |
7
|
sseli |
|
84 |
83
|
adantl |
|
85 |
58 59 1 2
|
dibeldmN |
|
86 |
85
|
ad2antrr |
|
87 |
84 86
|
mpbid |
|
88 |
87
|
simprd |
|
89 |
58 59 70 71 72 74 82 88
|
lattrd |
|
90 |
68 89
|
exlimddv |
|
91 |
58 59 1 2
|
dibeldmN |
|
92 |
91
|
adantr |
|
93 |
66 90 92
|
mpbir2and |
|
94 |
1 2
|
dibclN |
|
95 |
93 94
|
syldan |
|
96 |
55 95
|
eqeltrrd |
|
97 |
21 96
|
eqeltrrd |
|