Step |
Hyp |
Ref |
Expression |
1 |
|
salgencntex.a |
|
2 |
|
salgencntex.s |
|
3 |
|
salgencntex.b |
|
4 |
|
salgencntex.t |
|
5 |
|
salgencntex.c |
|
6 |
|
salgencntex.z |
|
7 |
|
saluni |
|
8 |
|
ovex |
|
9 |
3 8
|
eqeltri |
|
10 |
|
pwsal |
|
11 |
9 10
|
ax-mp |
|
12 |
4 11
|
eqeltri |
|
13 |
|
inss2 |
|
14 |
5 13
|
eqsstri |
|
15 |
12 14
|
pm3.2i |
|
16 |
|
sseq2 |
|
17 |
16
|
elrab |
|
18 |
15 17
|
mpbir |
|
19 |
|
intss1 |
|
20 |
18 19
|
ax-mp |
|
21 |
6 20
|
eqsstri |
|
22 |
21
|
unissi |
|
23 |
4
|
unieqi |
|
24 |
|
unipw |
|
25 |
23 24
|
eqtri |
|
26 |
22 25
|
sseqtri |
|
27 |
|
sseq2 |
|
28 |
27
|
elrab |
|
29 |
28
|
biimpi |
|
30 |
29
|
simprd |
|
31 |
30
|
adantl |
|
32 |
|
0red |
|
33 |
|
2re |
|
34 |
33
|
a1i |
|
35 |
|
unitssre |
|
36 |
|
id |
|
37 |
36 3
|
eleqtrdi |
|
38 |
35 37
|
sseldi |
|
39 |
32
|
rexrd |
|
40 |
|
1xr |
|
41 |
40
|
a1i |
|
42 |
|
iccgelb |
|
43 |
39 41 37 42
|
syl3anc |
|
44 |
|
1re |
|
45 |
44
|
a1i |
|
46 |
|
iccleub |
|
47 |
39 41 37 46
|
syl3anc |
|
48 |
|
1le2 |
|
49 |
48
|
a1i |
|
50 |
38 45 34 47 49
|
letrd |
|
51 |
32 34 38 43 50
|
eliccd |
|
52 |
51 1
|
eleqtrrdi |
|
53 |
|
snelpwi |
|
54 |
52 53
|
syl |
|
55 |
|
snfi |
|
56 |
|
fict |
|
57 |
55 56
|
ax-mp |
|
58 |
57
|
a1i |
|
59 |
|
orc |
|
60 |
58 59
|
syl |
|
61 |
54 60
|
jca |
|
62 |
|
breq1 |
|
63 |
|
difeq2 |
|
64 |
63
|
breq1d |
|
65 |
62 64
|
orbi12d |
|
66 |
65 2
|
elrab2 |
|
67 |
61 66
|
sylibr |
|
68 |
|
snelpwi |
|
69 |
68 4
|
eleqtrrdi |
|
70 |
67 69
|
elind |
|
71 |
5
|
eqcomi |
|
72 |
71
|
a1i |
|
73 |
70 72
|
eleqtrd |
|
74 |
73
|
adantr |
|
75 |
31 74
|
sseldd |
|
76 |
75
|
ralrimiva |
|
77 |
|
snex |
|
78 |
77
|
elint2 |
|
79 |
76 78
|
sylibr |
|
80 |
79 6
|
eleqtrrdi |
|
81 |
|
snidg |
|
82 |
|
eleq2 |
|
83 |
82
|
rspcev |
|
84 |
80 81 83
|
syl2anc |
|
85 |
|
eluni2 |
|
86 |
84 85
|
sylibr |
|
87 |
86
|
rgen |
|
88 |
|
dfss3 |
|
89 |
87 88
|
mpbir |
|
90 |
26 89
|
eqssi |
|
91 |
|
ovex |
|
92 |
1 91
|
eqeltri |
|
93 |
92
|
a1i |
|
94 |
93 2
|
salexct |
|
95 |
94
|
mptru |
|
96 |
|
inss1 |
|
97 |
5 96
|
eqsstri |
|
98 |
95 97
|
pm3.2i |
|
99 |
|
sseq2 |
|
100 |
99
|
elrab |
|
101 |
98 100
|
mpbir |
|
102 |
|
intss1 |
|
103 |
101 102
|
ax-mp |
|
104 |
6 103
|
eqsstri |
|
105 |
104
|
sseli |
|
106 |
1 2 3
|
salexct2 |
|
107 |
106
|
a1i |
|
108 |
105 107
|
pm2.65i |
|
109 |
90 108
|
eqneltri |
|
110 |
109
|
a1i |
|
111 |
7 110
|
pm2.65i |
|