Step |
Hyp |
Ref |
Expression |
1 |
|
bren |
|
2 |
|
bren |
|
3 |
|
exdistrv |
|
4 |
|
ovexd |
|
5 |
|
ovexd |
|
6 |
|
elmapi |
|
7 |
|
f1of |
|
8 |
7
|
adantr |
|
9 |
|
fco |
|
10 |
8 9
|
sylan |
|
11 |
|
f1ocnv |
|
12 |
11
|
adantl |
|
13 |
|
f1of |
|
14 |
12 13
|
syl |
|
15 |
14
|
adantr |
|
16 |
10 15
|
fcod |
|
17 |
16
|
ex |
|
18 |
6 17
|
syl5 |
|
19 |
|
f1ofo |
|
20 |
19
|
adantr |
|
21 |
|
forn |
|
22 |
20 21
|
syl |
|
23 |
|
vex |
|
24 |
23
|
rnex |
|
25 |
22 24
|
eqeltrrdi |
|
26 |
|
f1ofo |
|
27 |
26
|
adantl |
|
28 |
|
forn |
|
29 |
27 28
|
syl |
|
30 |
|
vex |
|
31 |
30
|
rnex |
|
32 |
29 31
|
eqeltrrdi |
|
33 |
25 32
|
elmapd |
|
34 |
18 33
|
sylibrd |
|
35 |
|
elmapi |
|
36 |
|
f1ocnv |
|
37 |
36
|
adantr |
|
38 |
|
f1of |
|
39 |
37 38
|
syl |
|
40 |
39
|
adantr |
|
41 |
|
id |
|
42 |
|
f1of |
|
43 |
42
|
adantl |
|
44 |
|
fco |
|
45 |
41 43 44
|
syl2anr |
|
46 |
40 45
|
fcod |
|
47 |
46
|
ex |
|
48 |
35 47
|
syl5 |
|
49 |
|
f1odm |
|
50 |
49
|
adantr |
|
51 |
23
|
dmex |
|
52 |
50 51
|
eqeltrrdi |
|
53 |
|
f1odm |
|
54 |
53
|
adantl |
|
55 |
30
|
dmex |
|
56 |
54 55
|
eqeltrrdi |
|
57 |
52 56
|
elmapd |
|
58 |
48 57
|
sylibrd |
|
59 |
|
coass |
|
60 |
|
f1ococnv2 |
|
61 |
60
|
ad2antrr |
|
62 |
61
|
coeq1d |
|
63 |
45
|
adantrl |
|
64 |
|
fcoi2 |
|
65 |
63 64
|
syl |
|
66 |
62 65
|
eqtrd |
|
67 |
59 66
|
syl5eqr |
|
68 |
67
|
eqeq2d |
|
69 |
|
coass |
|
70 |
|
f1ococnv1 |
|
71 |
70
|
ad2antlr |
|
72 |
71
|
coeq2d |
|
73 |
10
|
adantrr |
|
74 |
|
fcoi1 |
|
75 |
73 74
|
syl |
|
76 |
72 75
|
eqtrd |
|
77 |
69 76
|
syl5eq |
|
78 |
77
|
eqeq2d |
|
79 |
|
eqcom |
|
80 |
78 79
|
bitrdi |
|
81 |
68 80
|
bitr4d |
|
82 |
|
f1of1 |
|
83 |
82
|
ad2antrr |
|
84 |
|
simprl |
|
85 |
46
|
adantrl |
|
86 |
|
cocan1 |
|
87 |
83 84 85 86
|
syl3anc |
|
88 |
27
|
adantr |
|
89 |
|
ffn |
|
90 |
89
|
ad2antll |
|
91 |
16
|
adantrr |
|
92 |
91
|
ffnd |
|
93 |
|
cocan2 |
|
94 |
88 90 92 93
|
syl3anc |
|
95 |
81 87 94
|
3bitr3d |
|
96 |
95
|
ex |
|
97 |
6 35 96
|
syl2ani |
|
98 |
4 5 34 58 97
|
en3d |
|
99 |
98
|
exlimivv |
|
100 |
3 99
|
sylbir |
|
101 |
1 2 100
|
syl2anb |
|