Step |
Hyp |
Ref |
Expression |
1 |
|
esumfsup.1 |
|
2 |
|
1z |
|
3 |
|
seqfn |
|
4 |
2 3
|
ax-mp |
|
5 |
|
nnuz |
|
6 |
5
|
fneq2i |
|
7 |
4 6
|
mpbir |
|
8 |
|
iccssxr |
|
9 |
1
|
esumfzf |
|
10 |
|
ovex |
|
11 |
|
nfcv |
|
12 |
|
nfcv |
|
13 |
1 11 12
|
nff |
|
14 |
|
nfv |
|
15 |
13 14
|
nfan |
|
16 |
|
simpll |
|
17 |
|
1nn |
|
18 |
|
fzssnn |
|
19 |
17 18
|
mp1i |
|
20 |
|
simpr |
|
21 |
19 20
|
sseldd |
|
22 |
16 21
|
ffvelrnd |
|
23 |
22
|
ex |
|
24 |
15 23
|
ralrimi |
|
25 |
|
nfcv |
|
26 |
25
|
esumcl |
|
27 |
10 24 26
|
sylancr |
|
28 |
9 27
|
eqeltrrd |
|
29 |
8 28
|
sseldi |
|
30 |
29
|
ralrimiva |
|
31 |
|
fnfvrnss |
|
32 |
7 30 31
|
sylancr |
|
33 |
|
nnex |
|
34 |
|
ffvelrn |
|
35 |
34
|
ex |
|
36 |
13 35
|
ralrimi |
|
37 |
11
|
esumcl |
|
38 |
33 36 37
|
sylancr |
|
39 |
8 38
|
sseldi |
|
40 |
|
fvelrnb |
|
41 |
7 40
|
mp1i |
|
42 |
|
eqcom |
|
43 |
9
|
eqeq1d |
|
44 |
42 43
|
bitr3id |
|
45 |
44
|
rexbidva |
|
46 |
41 45
|
bitr4d |
|
47 |
46
|
biimpa |
|
48 |
33
|
a1i |
|
49 |
34
|
adantlr |
|
50 |
17 18
|
mp1i |
|
51 |
15 48 49 50
|
esummono |
|
52 |
51
|
ralrimiva |
|
53 |
52
|
adantr |
|
54 |
47 53
|
jca |
|
55 |
|
r19.29r |
|
56 |
|
breq1 |
|
57 |
56
|
biimpar |
|
58 |
57
|
rexlimivw |
|
59 |
54 55 58
|
3syl |
|
60 |
59
|
ralrimiva |
|
61 |
|
nfv |
|
62 |
13 61
|
nfan |
|
63 |
|
nfcv |
|
64 |
|
nfcv |
|
65 |
11
|
nfesum1 |
|
66 |
63 64 65
|
nfbr |
|
67 |
62 66
|
nfan |
|
68 |
33
|
a1i |
|
69 |
|
simplll |
|
70 |
69 34
|
sylancom |
|
71 |
|
simplr |
|
72 |
71
|
rexrd |
|
73 |
|
simpr |
|
74 |
67 68 70 72 73
|
esumlub |
|
75 |
|
ssnnssfz |
|
76 |
|
r19.42v |
|
77 |
|
nfv |
|
78 |
67 77
|
nfan |
|
79 |
10
|
a1i |
|
80 |
|
simp-4l |
|
81 |
17 18
|
ax-mp |
|
82 |
|
simpr |
|
83 |
81 82
|
sseldi |
|
84 |
80 83
|
ffvelrnd |
|
85 |
|
simpr |
|
86 |
78 79 84 85
|
esummono |
|
87 |
86
|
reximi |
|
88 |
76 87
|
sylbir |
|
89 |
75 88
|
sylan2 |
|
90 |
89
|
ralrimiva |
|
91 |
|
r19.29r |
|
92 |
|
r19.42v |
|
93 |
92
|
rexbii |
|
94 |
91 93
|
sylibr |
|
95 |
74 90 94
|
syl2anc |
|
96 |
|
simp-4r |
|
97 |
96
|
rexrd |
|
98 |
|
vex |
|
99 |
|
nfcv |
|
100 |
99
|
nfel1 |
|
101 |
67 100
|
nfan |
|
102 |
101 14
|
nfan |
|
103 |
|
simp-5l |
|
104 |
|
simpllr |
|
105 |
|
inss1 |
|
106 |
105
|
sseli |
|
107 |
|
elpwi |
|
108 |
104 106 107
|
3syl |
|
109 |
|
simpr |
|
110 |
108 109
|
sseldd |
|
111 |
103 110
|
ffvelrnd |
|
112 |
111
|
ex |
|
113 |
102 112
|
ralrimi |
|
114 |
99
|
esumcl |
|
115 |
98 113 114
|
sylancr |
|
116 |
8 115
|
sseldi |
|
117 |
|
simp-5l |
|
118 |
|
simpr |
|
119 |
81 118
|
sseldi |
|
120 |
117 119
|
ffvelrnd |
|
121 |
120
|
ex |
|
122 |
102 121
|
ralrimi |
|
123 |
10 122 26
|
sylancr |
|
124 |
8 123
|
sseldi |
|
125 |
|
xrltletr |
|
126 |
97 116 124 125
|
syl3anc |
|
127 |
126
|
reximdva |
|
128 |
127
|
rexlimdva |
|
129 |
95 128
|
mpd |
|
130 |
|
fvelrnb |
|
131 |
7 130
|
mp1i |
|
132 |
|
eqcom |
|
133 |
9
|
eqeq1d |
|
134 |
132 133
|
bitr3id |
|
135 |
134
|
rexbidva |
|
136 |
131 135
|
bitr4d |
|
137 |
|
simpr |
|
138 |
137
|
breq2d |
|
139 |
27 136 138
|
rexxfr2d |
|
140 |
139
|
ad2antrr |
|
141 |
129 140
|
mpbird |
|
142 |
141
|
ex |
|
143 |
142
|
ralrimiva |
|
144 |
|
supxr2 |
|
145 |
32 39 60 143 144
|
syl22anc |
|
146 |
145
|
eqcomd |
|