Step |
Hyp |
Ref |
Expression |
1 |
|
psdmplcl.p |
|
2 |
|
psdmplcl.b |
|
3 |
|
psdmplcl.r |
|
4 |
|
psdmplcl.x |
|
5 |
|
psdmplcl.f |
|
6 |
|
eqid |
|
7 |
|
eqid |
|
8 |
|
mndmgm |
|
9 |
3 8
|
syl |
|
10 |
1 6 2 7
|
mplbasss |
|
11 |
10 5
|
sselid |
|
12 |
6 7 9 4 11
|
psdcl |
|
13 |
|
eqid |
|
14 |
6 7 13 4 11
|
psdval |
|
15 |
|
ovex |
|
16 |
15
|
rabex |
|
17 |
16
|
a1i |
|
18 |
17
|
mptexd |
|
19 |
|
fvexd |
|
20 |
|
funmpt |
|
21 |
20
|
a1i |
|
22 |
|
simpr |
|
23 |
|
reldmmpl |
|
24 |
1 2 23
|
strov2rcl |
|
25 |
5 24
|
syl |
|
26 |
13
|
psrbagsn |
|
27 |
25 26
|
syl |
|
28 |
27
|
adantr |
|
29 |
13
|
psrbagaddcl |
|
30 |
22 28 29
|
syl2anc |
|
31 |
|
eqidd |
|
32 |
|
eqid |
|
33 |
1 32 2 13 5
|
mplelf |
|
34 |
33
|
feqmptd |
|
35 |
|
fveq2 |
|
36 |
30 31 34 35
|
fmptco |
|
37 |
|
eqid |
|
38 |
1 2 37 5
|
mplelsfi |
|
39 |
30
|
fmpttd |
|
40 |
|
ovex |
|
41 |
|
eqid |
|
42 |
40 41
|
fnmpti |
|
43 |
42
|
a1i |
|
44 |
|
dffn3 |
|
45 |
43 44
|
sylib |
|
46 |
45 39
|
fcod |
|
47 |
46
|
ffnd |
|
48 |
|
fnresi |
|
49 |
48
|
a1i |
|
50 |
13
|
psrbagf |
|
51 |
50
|
adantl |
|
52 |
51
|
ffvelcdmda |
|
53 |
52
|
nn0cnd |
|
54 |
|
ax-1cn |
|
55 |
|
0cn |
|
56 |
54 55
|
ifcli |
|
57 |
56
|
a1i |
|
58 |
53 57
|
pncand |
|
59 |
58
|
mpteq2dva |
|
60 |
|
simpr |
|
61 |
27
|
adantr |
|
62 |
13
|
psrbagaddcl |
|
63 |
60 61 62
|
syl2anc |
|
64 |
13
|
psrbagf |
|
65 |
64
|
ffnd |
|
66 |
63 65
|
syl |
|
67 |
|
1ex |
|
68 |
|
c0ex |
|
69 |
67 68
|
ifex |
|
70 |
|
eqid |
|
71 |
69 70
|
fnmpti |
|
72 |
71
|
a1i |
|
73 |
25
|
adantr |
|
74 |
|
inidm |
|
75 |
50
|
ffnd |
|
76 |
75
|
adantl |
|
77 |
|
eqidd |
|
78 |
|
eqeq1 |
|
79 |
78
|
ifbid |
|
80 |
|
simpr |
|
81 |
67 68
|
ifex |
|
82 |
81
|
a1i |
|
83 |
70 79 80 82
|
fvmptd3 |
|
84 |
76 72 73 73 74 77 83
|
ofval |
|
85 |
66 72 73 73 74 84 83
|
offval |
|
86 |
51
|
feqmptd |
|
87 |
59 85 86
|
3eqtr4d |
|
88 |
30
|
adantlr |
|
89 |
88
|
fmpttd |
|
90 |
89 60
|
fvco3d |
|
91 |
|
eqid |
|
92 |
|
oveq1 |
|
93 |
|
ovexd |
|
94 |
91 92 60 93
|
fvmptd3 |
|
95 |
94
|
fveq2d |
|
96 |
|
oveq1 |
|
97 |
|
ovexd |
|
98 |
41 96 63 97
|
fvmptd3 |
|
99 |
90 95 98
|
3eqtrd |
|
100 |
|
fvresi |
|
101 |
100
|
adantl |
|
102 |
87 99 101
|
3eqtr4d |
|
103 |
47 49 102
|
eqfnfvd |
|
104 |
|
fcof1 |
|
105 |
39 103 104
|
syl2anc |
|
106 |
38 105 19 5
|
fsuppco |
|
107 |
36 106
|
eqbrtrrd |
|
108 |
107
|
fsuppimpd |
|
109 |
|
ssidd |
|
110 |
|
eqid |
|
111 |
32 110 37
|
mulgnn0z |
|
112 |
3 111
|
sylan |
|
113 |
13
|
psrbagf |
|
114 |
113
|
adantl |
|
115 |
4
|
adantr |
|
116 |
114 115
|
ffvelcdmd |
|
117 |
|
peano2nn0 |
|
118 |
116 117
|
syl |
|
119 |
|
fvexd |
|
120 |
109 112 118 119 19
|
suppssov2 |
|
121 |
108 120
|
ssfid |
|
122 |
18 19 21 121
|
isfsuppd |
|
123 |
14 122
|
eqbrtrd |
|
124 |
1 6 7 37 2
|
mplelbas |
|
125 |
12 123 124
|
sylanbrc |
|