Step |
Hyp |
Ref |
Expression |
1 |
|
negsunif.1 |
|
2 |
|
negsunif.2 |
|
3 |
1
|
scutcld |
|
4 |
2 3
|
eqeltrd |
|
5 |
|
negsval |
|
6 |
4 5
|
syl |
|
7 |
|
negscut2 |
|
8 |
4 7
|
syl |
|
9 |
1 2
|
cofcutr2d |
|
10 |
|
negsfn |
|
11 |
|
ssltss2 |
|
12 |
1 11
|
syl |
|
13 |
|
breq2 |
|
14 |
13
|
imaeqsexv |
|
15 |
10 12 14
|
sylancr |
|
16 |
15
|
ralbidv |
|
17 |
12
|
adantr |
|
18 |
17
|
sselda |
|
19 |
|
rightssno |
|
20 |
19
|
sseli |
|
21 |
20
|
ad2antlr |
|
22 |
18 21
|
slenegd |
|
23 |
22
|
rexbidva |
|
24 |
23
|
ralbidva |
|
25 |
16 24
|
bitr4d |
|
26 |
9 25
|
mpbird |
|
27 |
|
breq1 |
|
28 |
27
|
rexbidv |
|
29 |
28
|
imaeqsalv |
|
30 |
10 19 29
|
mp2an |
|
31 |
26 30
|
sylibr |
|
32 |
1 2
|
cofcutr1d |
|
33 |
|
ssltss1 |
|
34 |
1 33
|
syl |
|
35 |
|
breq1 |
|
36 |
35
|
imaeqsexv |
|
37 |
10 34 36
|
sylancr |
|
38 |
37
|
ralbidv |
|
39 |
|
leftssno |
|
40 |
39
|
sseli |
|
41 |
40
|
ad2antlr |
|
42 |
34
|
adantr |
|
43 |
42
|
sselda |
|
44 |
41 43
|
slenegd |
|
45 |
44
|
rexbidva |
|
46 |
45
|
ralbidva |
|
47 |
38 46
|
bitr4d |
|
48 |
32 47
|
mpbird |
|
49 |
|
breq2 |
|
50 |
49
|
rexbidv |
|
51 |
50
|
imaeqsalv |
|
52 |
10 39 51
|
mp2an |
|
53 |
48 52
|
sylibr |
|
54 |
|
fnfun |
|
55 |
10 54
|
ax-mp |
|
56 |
|
ssltex2 |
|
57 |
1 56
|
syl |
|
58 |
|
funimaexg |
|
59 |
55 57 58
|
sylancr |
|
60 |
|
snex |
|
61 |
60
|
a1i |
|
62 |
|
imassrn |
|
63 |
|
negsfo |
|
64 |
|
forn |
|
65 |
63 64
|
ax-mp |
|
66 |
62 65
|
sseqtri |
|
67 |
66
|
a1i |
|
68 |
4
|
negscld |
|
69 |
68
|
snssd |
|
70 |
|
velsn |
|
71 |
|
fvelimab |
|
72 |
10 12 71
|
sylancr |
|
73 |
2
|
sneqd |
|
74 |
73
|
adantr |
|
75 |
|
scutcut |
|
76 |
1 75
|
syl |
|
77 |
76
|
simp3d |
|
78 |
77
|
adantr |
|
79 |
74 78
|
eqbrtrd |
|
80 |
|
snidg |
|
81 |
4 80
|
syl |
|
82 |
81
|
adantr |
|
83 |
|
simpr |
|
84 |
79 82 83
|
ssltsepcd |
|
85 |
4
|
adantr |
|
86 |
12
|
sselda |
|
87 |
85 86
|
sltnegd |
|
88 |
84 87
|
mpbid |
|
89 |
|
breq1 |
|
90 |
88 89
|
syl5ibcom |
|
91 |
90
|
rexlimdva |
|
92 |
72 91
|
sylbid |
|
93 |
|
breq2 |
|
94 |
93
|
imbi2d |
|
95 |
92 94
|
syl5ibrcom |
|
96 |
70 95
|
biimtrid |
|
97 |
96
|
3imp |
|
98 |
97
|
3com23 |
|
99 |
59 61 67 69 98
|
ssltd |
|
100 |
6
|
sneqd |
|
101 |
99 100
|
breqtrd |
|
102 |
|
ssltex1 |
|
103 |
1 102
|
syl |
|
104 |
|
funimaexg |
|
105 |
55 103 104
|
sylancr |
|
106 |
|
imassrn |
|
107 |
106 65
|
sseqtri |
|
108 |
107
|
a1i |
|
109 |
|
fvelimab |
|
110 |
10 34 109
|
sylancr |
|
111 |
1
|
adantr |
|
112 |
111 75
|
syl |
|
113 |
112
|
simp2d |
|
114 |
73
|
adantr |
|
115 |
113 114
|
breqtrrd |
|
116 |
|
simpr |
|
117 |
81
|
adantr |
|
118 |
115 116 117
|
ssltsepcd |
|
119 |
34
|
sselda |
|
120 |
4
|
adantr |
|
121 |
119 120
|
sltnegd |
|
122 |
118 121
|
mpbid |
|
123 |
|
breq2 |
|
124 |
122 123
|
syl5ibcom |
|
125 |
124
|
rexlimdva |
|
126 |
110 125
|
sylbid |
|
127 |
|
breq1 |
|
128 |
127
|
imbi2d |
|
129 |
126 128
|
syl5ibrcom |
|
130 |
70 129
|
biimtrid |
|
131 |
130
|
3imp |
|
132 |
61 105 69 108 131
|
ssltd |
|
133 |
100 132
|
eqbrtrrd |
|
134 |
8 31 53 101 133
|
cofcut1d |
|
135 |
6 134
|
eqtrd |
|