Step |
Hyp |
Ref |
Expression |
1 |
|
aomclem6.b |
|
2 |
|
aomclem6.c |
|
3 |
|
aomclem6.d |
|
4 |
|
aomclem6.e |
|
5 |
|
aomclem6.f |
|
6 |
|
aomclem6.g |
|
7 |
|
aomclem6.h |
|
8 |
|
aomclem6.a |
|
9 |
|
aomclem6.y |
|
10 |
|
ssid |
|
11 |
8
|
adantr |
|
12 |
|
sseq1 |
|
13 |
12
|
anbi2d |
|
14 |
|
fveq2 |
|
15 |
|
fveq2 |
|
16 |
14 15
|
weeq12d |
|
17 |
13 16
|
imbi12d |
|
18 |
|
sseq1 |
|
19 |
18
|
anbi2d |
|
20 |
|
fveq2 |
|
21 |
|
fveq2 |
|
22 |
20 21
|
weeq12d |
|
23 |
19 22
|
imbi12d |
|
24 |
|
dmeq |
|
25 |
24
|
adantl |
|
26 |
|
simpl1 |
|
27 |
|
onss |
|
28 |
7
|
tfr1 |
|
29 |
|
fnssres |
|
30 |
28 29
|
mpan |
|
31 |
|
fndm |
|
32 |
26 27 30 31
|
4syl |
|
33 |
25 32
|
eqtrd |
|
34 |
33 26
|
eqeltrd |
|
35 |
33
|
eleq2d |
|
36 |
35
|
biimpa |
|
37 |
|
simpll2 |
|
38 |
|
simpl3l |
|
39 |
38
|
adantr |
|
40 |
|
onelss |
|
41 |
34 40
|
syl |
|
42 |
41
|
imp |
|
43 |
|
simpl3r |
|
44 |
33 43
|
eqsstrd |
|
45 |
44
|
adantr |
|
46 |
42 45
|
sstrd |
|
47 |
|
sseq1 |
|
48 |
47
|
anbi2d |
|
49 |
|
fveq2 |
|
50 |
|
fveq2 |
|
51 |
49 50
|
weeq12d |
|
52 |
48 51
|
imbi12d |
|
53 |
52
|
rspcva |
|
54 |
53
|
imp |
|
55 |
36 37 39 46 54
|
syl22anc |
|
56 |
|
fveq1 |
|
57 |
56
|
ad2antlr |
|
58 |
|
fvres |
|
59 |
36 58
|
syl |
|
60 |
57 59
|
eqtrd |
|
61 |
|
weeq1 |
|
62 |
60 61
|
syl |
|
63 |
55 62
|
mpbird |
|
64 |
63
|
ralrimiva |
|
65 |
38 8
|
syl |
|
66 |
38 9
|
syl |
|
67 |
1 2 3 4 5 6 34 64 65 44 66
|
aomclem5 |
|
68 |
33
|
fveq2d |
|
69 |
|
weeq2 |
|
70 |
68 69
|
syl |
|
71 |
67 70
|
mpbid |
|
72 |
71
|
ex |
|
73 |
72
|
alrimiv |
|
74 |
|
nfv |
|
75 |
|
nfv |
|
76 |
|
nfsbc1v |
|
77 |
75 76
|
nfim |
|
78 |
|
eqeq1 |
|
79 |
|
sbceq1a |
|
80 |
78 79
|
imbi12d |
|
81 |
74 77 80
|
cbvalv1 |
|
82 |
73 81
|
sylib |
|
83 |
|
nfsbc1v |
|
84 |
|
fnfun |
|
85 |
28 84
|
ax-mp |
|
86 |
|
vex |
|
87 |
|
resfunexg |
|
88 |
85 86 87
|
mp2an |
|
89 |
|
sbceq1a |
|
90 |
83 88 89
|
ceqsal |
|
91 |
82 90
|
sylib |
|
92 |
|
sbccow |
|
93 |
91 92
|
sylib |
|
94 |
|
nfcsb1v |
|
95 |
|
nfcv |
|
96 |
94 95
|
nfwe |
|
97 |
|
csbeq1a |
|
98 |
|
weeq1 |
|
99 |
97 98
|
syl |
|
100 |
96 99
|
sbciegf |
|
101 |
88 100
|
ax-mp |
|
102 |
93 101
|
sylib |
|
103 |
|
recsval |
|
104 |
7
|
fveq1i |
|
105 |
|
fvex |
|
106 |
105 105
|
xpex |
|
107 |
106
|
inex2 |
|
108 |
6 107
|
eqeltri |
|
109 |
108
|
csbex |
|
110 |
|
eqid |
|
111 |
110
|
fvmpts |
|
112 |
88 109 111
|
mp2an |
|
113 |
7
|
reseq1i |
|
114 |
113
|
fveq2i |
|
115 |
112 114
|
eqtr3i |
|
116 |
103 104 115
|
3eqtr4g |
|
117 |
|
weeq1 |
|
118 |
116 117
|
syl |
|
119 |
118
|
3ad2ant1 |
|
120 |
102 119
|
mpbird |
|
121 |
120
|
3exp |
|
122 |
17 23 121
|
tfis3 |
|
123 |
11 122
|
mpcom |
|
124 |
10 123
|
mpan2 |
|