Step |
Hyp |
Ref |
Expression |
1 |
|
prdstmdd.y |
|
2 |
|
prdstmdd.i |
|
3 |
|
prdstmdd.s |
|
4 |
|
prdstmdd.r |
|
5 |
|
tmdmnd |
|
6 |
5
|
ssriv |
|
7 |
|
fss |
|
8 |
4 6 7
|
sylancl |
|
9 |
1 2 3 8
|
prdsmndd |
|
10 |
|
tmdtps |
|
11 |
10
|
ssriv |
|
12 |
|
fss |
|
13 |
4 11 12
|
sylancl |
|
14 |
1 3 2 13
|
prdstps |
|
15 |
|
eqid |
|
16 |
3
|
3ad2ant1 |
|
17 |
2
|
3ad2ant1 |
|
18 |
4
|
ffnd |
|
19 |
18
|
3ad2ant1 |
|
20 |
|
simp2 |
|
21 |
|
simp3 |
|
22 |
|
eqid |
|
23 |
1 15 16 17 19 20 21 22
|
prdsplusgval |
|
24 |
23
|
mpoeq3dva |
|
25 |
|
eqid |
|
26 |
15 22 25
|
plusffval |
|
27 |
|
vex |
|
28 |
|
vex |
|
29 |
27 28
|
op1std |
|
30 |
29
|
fveq1d |
|
31 |
27 28
|
op2ndd |
|
32 |
31
|
fveq1d |
|
33 |
30 32
|
oveq12d |
|
34 |
33
|
mpteq2dv |
|
35 |
34
|
mpompt |
|
36 |
24 26 35
|
3eqtr4g |
|
37 |
|
eqid |
|
38 |
|
eqid |
|
39 |
15 38
|
istps |
|
40 |
14 39
|
sylib |
|
41 |
|
txtopon |
|
42 |
40 40 41
|
syl2anc |
|
43 |
|
topnfn |
|
44 |
|
ssv |
|
45 |
|
fnssres |
|
46 |
43 44 45
|
mp2an |
|
47 |
|
fvres |
|
48 |
|
eqid |
|
49 |
48
|
tpstop |
|
50 |
47 49
|
eqeltrd |
|
51 |
50
|
rgen |
|
52 |
|
ffnfv |
|
53 |
46 51 52
|
mpbir2an |
|
54 |
|
fco2 |
|
55 |
53 13 54
|
sylancr |
|
56 |
33
|
mpompt |
|
57 |
|
eqid |
|
58 |
|
eqid |
|
59 |
4
|
ffvelrnda |
|
60 |
40
|
adantr |
|
61 |
60 60
|
cnmpt1st |
|
62 |
1 3 2 18 38
|
prdstopn |
|
63 |
62
|
adantr |
|
64 |
63 60
|
eqeltrrd |
|
65 |
|
toponuni |
|
66 |
64 65
|
syl |
|
67 |
66
|
mpteq1d |
|
68 |
2
|
adantr |
|
69 |
55
|
adantr |
|
70 |
|
simpr |
|
71 |
|
eqid |
|
72 |
71 37
|
ptpjcn |
|
73 |
68 69 70 72
|
syl3anc |
|
74 |
67 73
|
eqeltrd |
|
75 |
63
|
eqcomd |
|
76 |
|
fvco3 |
|
77 |
4 76
|
sylan |
|
78 |
75 77
|
oveq12d |
|
79 |
74 78
|
eleqtrd |
|
80 |
|
fveq1 |
|
81 |
60 60 61 60 79 80
|
cnmpt21 |
|
82 |
60 60
|
cnmpt2nd |
|
83 |
|
fveq1 |
|
84 |
60 60 82 60 79 83
|
cnmpt21 |
|
85 |
57 58 59 60 60 81 84
|
cnmpt2plusg |
|
86 |
77
|
oveq2d |
|
87 |
85 86
|
eleqtrrd |
|
88 |
56 87
|
eqeltrid |
|
89 |
37 42 2 55 88
|
ptcn |
|
90 |
36 89
|
eqeltrd |
|
91 |
62
|
oveq2d |
|
92 |
90 91
|
eleqtrrd |
|
93 |
25 38
|
istmd |
|
94 |
9 14 92 93
|
syl3anbrc |
|