Step |
Hyp |
Ref |
Expression |
1 |
|
resf1o.1 |
|
2 |
|
resf1o.2 |
|
3 |
|
resexg |
|
4 |
3
|
adantl |
|
5 |
|
simpr |
|
6 |
|
difexg |
|
7 |
6
|
3ad2ant1 |
|
8 |
|
snex |
|
9 |
|
xpexg |
|
10 |
7 8 9
|
sylancl |
|
11 |
10
|
adantr |
|
12 |
|
unexg |
|
13 |
5 11 12
|
syl2anc |
|
14 |
13
|
adantlr |
|
15 |
1
|
rabeq2i |
|
16 |
15
|
anbi1i |
|
17 |
|
simprr |
|
18 |
|
simprll |
|
19 |
|
elmapi |
|
20 |
18 19
|
syl |
|
21 |
|
simp3 |
|
22 |
21
|
ad2antrr |
|
23 |
20 22
|
fssresd |
|
24 |
|
simp2 |
|
25 |
|
simp1 |
|
26 |
25 21
|
ssexd |
|
27 |
|
elmapg |
|
28 |
24 26 27
|
syl2anc |
|
29 |
28
|
ad2antrr |
|
30 |
23 29
|
mpbird |
|
31 |
17 30
|
eqeltrd |
|
32 |
|
undif |
|
33 |
32
|
biimpi |
|
34 |
33
|
reseq2d |
|
35 |
22 34
|
syl |
|
36 |
|
ffn |
|
37 |
|
fnresdm |
|
38 |
20 36 37
|
3syl |
|
39 |
35 38
|
eqtr2d |
|
40 |
|
resundi |
|
41 |
39 40
|
eqtrdi |
|
42 |
17
|
eqcomd |
|
43 |
|
simprlr |
|
44 |
25
|
ad2antrr |
|
45 |
|
simplr |
|
46 |
|
eqid |
|
47 |
46
|
ffs2 |
|
48 |
44 45 20 47
|
syl3anc |
|
49 |
|
sseqin2 |
|
50 |
49
|
biimpi |
|
51 |
22 50
|
syl |
|
52 |
43 48 51
|
3sstr4d |
|
53 |
|
simpl |
|
54 |
53 19 36
|
3syl |
|
55 |
|
inundif |
|
56 |
55
|
fneq2i |
|
57 |
54 56
|
sylibr |
|
58 |
|
vex |
|
59 |
58
|
a1i |
|
60 |
|
simpr |
|
61 |
|
inindif |
|
62 |
61
|
a1i |
|
63 |
|
fnsuppres |
|
64 |
57 59 60 62 63
|
syl121anc |
|
65 |
18 45 64
|
syl2anc |
|
66 |
52 65
|
mpbid |
|
67 |
42 66
|
uneq12d |
|
68 |
41 67
|
eqtrd |
|
69 |
31 68
|
jca |
|
70 |
24
|
ad2antrr |
|
71 |
25
|
ad2antrr |
|
72 |
|
elmapi |
|
73 |
72
|
ad2antrl |
|
74 |
|
simplr |
|
75 |
|
fconst6g |
|
76 |
74 75
|
syl |
|
77 |
|
disjdif |
|
78 |
77
|
a1i |
|
79 |
|
fun2 |
|
80 |
73 76 78 79
|
syl21anc |
|
81 |
|
simprr |
|
82 |
81
|
eqcomd |
|
83 |
21
|
ad2antrr |
|
84 |
83 33
|
syl |
|
85 |
82 84
|
feq12d |
|
86 |
80 85
|
mpbid |
|
87 |
|
elmapg |
|
88 |
87
|
biimpar |
|
89 |
70 71 86 88
|
syl21anc |
|
90 |
71 74 86 47
|
syl3anc |
|
91 |
81
|
adantr |
|
92 |
91
|
fveq1d |
|
93 |
73
|
adantr |
|
94 |
93
|
ffnd |
|
95 |
|
fconstg |
|
96 |
95
|
ad3antlr |
|
97 |
96
|
ffnd |
|
98 |
77
|
a1i |
|
99 |
|
simpr |
|
100 |
|
fvun2 |
|
101 |
94 97 98 99 100
|
syl112anc |
|
102 |
|
fvconst |
|
103 |
96 99 102
|
syl2anc |
|
104 |
92 101 103
|
3eqtrd |
|
105 |
86 104
|
suppss |
|
106 |
90 105
|
eqsstrrd |
|
107 |
81
|
reseq1d |
|
108 |
|
res0 |
|
109 |
|
res0 |
|
110 |
108 109
|
eqtr4i |
|
111 |
77
|
reseq2i |
|
112 |
77
|
reseq2i |
|
113 |
110 111 112
|
3eqtr4ri |
|
114 |
113
|
a1i |
|
115 |
|
fresaunres1 |
|
116 |
73 76 114 115
|
syl3anc |
|
117 |
107 116
|
eqtr2d |
|
118 |
89 106 117
|
jca31 |
|
119 |
69 118
|
impbida |
|
120 |
16 119
|
syl5bb |
|
121 |
2 4 14 120
|
f1od |
|