Step |
Hyp |
Ref |
Expression |
1 |
|
smndex1ibas.m |
Could not format M = ( EndoFMnd ` NN0 ) : No typesetting found for |- M = ( EndoFMnd ` NN0 ) with typecode |- |
2 |
|
smndex1ibas.n |
|
3 |
|
smndex1ibas.i |
|
4 |
|
smndex1ibas.g |
|
5 |
|
smndex1mgm.b |
|
6 |
|
smndex1mgm.s |
|
7 |
1 2 3 4 5
|
smndex1basss |
|
8 |
|
ssel |
|
9 |
|
ssel |
|
10 |
8 9
|
anim12d |
|
11 |
7 10
|
ax-mp |
|
12 |
|
eqid |
|
13 |
|
eqid |
|
14 |
1 12 13
|
efmndov |
|
15 |
11 14
|
syl |
|
16 |
|
simpl |
|
17 |
|
simpr |
|
18 |
16 17
|
coeq12d |
|
19 |
1 2 3
|
smndex1iidm |
|
20 |
18 19
|
eqtrdi |
|
21 |
20
|
orcd |
|
22 |
21
|
ex |
|
23 |
|
simpll |
|
24 |
|
simpr |
|
25 |
23 24
|
coeq12d |
|
26 |
1 2 3 4
|
smndex1igid |
|
27 |
26
|
ad2antlr |
|
28 |
25 27
|
eqtrd |
|
29 |
28
|
ex |
|
30 |
29
|
reximdva |
|
31 |
30
|
imp |
|
32 |
31
|
olcd |
|
33 |
32
|
ex |
|
34 |
22 33
|
jaod |
|
35 |
|
simpr |
|
36 |
|
simpll |
|
37 |
35 36
|
coeq12d |
|
38 |
1 2 3
|
smndex1ibas |
|
39 |
1 2 3 4
|
smndex1gid |
|
40 |
38 39
|
mpan |
|
41 |
40
|
ad2antlr |
|
42 |
37 41
|
eqtrd |
|
43 |
42
|
ex |
|
44 |
43
|
reximdva |
|
45 |
44
|
imp |
|
46 |
45
|
olcd |
|
47 |
46
|
expcom |
|
48 |
|
fveq2 |
|
49 |
48
|
eqeq2d |
|
50 |
49
|
cbvrexvw |
|
51 |
|
simpr |
|
52 |
|
simpllr |
|
53 |
51 52
|
coeq12d |
|
54 |
1 2 3 4
|
smndex1gbas |
|
55 |
1 2 3 4
|
smndex1gid |
|
56 |
54 55
|
sylan |
|
57 |
56
|
ad4ant13 |
|
58 |
53 57
|
eqtrd |
|
59 |
58
|
ex |
|
60 |
59
|
reximdva |
|
61 |
60
|
rexlimiva |
|
62 |
61
|
imp |
|
63 |
62
|
olcd |
|
64 |
63
|
expcom |
|
65 |
50 64
|
syl5bi |
|
66 |
47 65
|
jaod |
|
67 |
34 66
|
jaoi |
|
68 |
67
|
imp |
|
69 |
5
|
eleq2i |
|
70 |
|
fveq2 |
|
71 |
70
|
sneqd |
|
72 |
71
|
cbviunv |
|
73 |
72
|
uneq2i |
|
74 |
73
|
eleq2i |
|
75 |
69 74
|
bitri |
|
76 |
|
elun |
|
77 |
|
velsn |
|
78 |
|
eliun |
|
79 |
|
velsn |
|
80 |
79
|
rexbii |
|
81 |
78 80
|
bitri |
|
82 |
77 81
|
orbi12i |
|
83 |
75 76 82
|
3bitri |
|
84 |
5
|
eleq2i |
|
85 |
73
|
eleq2i |
|
86 |
84 85
|
bitri |
|
87 |
|
elun |
|
88 |
|
velsn |
|
89 |
|
eliun |
|
90 |
|
velsn |
|
91 |
90
|
rexbii |
|
92 |
89 91
|
bitri |
|
93 |
88 92
|
orbi12i |
|
94 |
86 87 93
|
3bitri |
|
95 |
83 94
|
anbi12i |
|
96 |
5
|
eleq2i |
|
97 |
73
|
eleq2i |
|
98 |
96 97
|
bitri |
|
99 |
|
elun |
|
100 |
|
vex |
|
101 |
|
vex |
|
102 |
100 101
|
coex |
|
103 |
102
|
elsn |
|
104 |
|
eliun |
|
105 |
102
|
elsn |
|
106 |
105
|
rexbii |
|
107 |
104 106
|
bitri |
|
108 |
103 107
|
orbi12i |
|
109 |
98 99 108
|
3bitri |
|
110 |
68 95 109
|
3imtr4i |
|
111 |
15 110
|
eqeltrd |
|
112 |
111
|
rgen2 |
|
113 |
6
|
ovexi |
|
114 |
1 2 3 4 5 6
|
smndex1bas |
|
115 |
114
|
eqcomi |
|
116 |
115
|
fvexi |
|
117 |
6 13
|
ressplusg |
|
118 |
116 117
|
ax-mp |
|
119 |
115 118
|
ismgm |
|
120 |
113 119
|
ax-mp |
|
121 |
112 120
|
mpbir |
|