Step |
Hyp |
Ref |
Expression |
1 |
|
ismrcd.b |
|
2 |
|
ismrcd.f |
|
3 |
|
ismrcd.e |
|
4 |
|
ismrcd.m |
|
5 |
|
ismrcd.i |
|
6 |
|
inss1 |
|
7 |
|
dmss |
|
8 |
6 7
|
ax-mp |
|
9 |
8 2
|
fssdm |
|
10 |
|
ssid |
|
11 |
|
elpwg |
|
12 |
1 11
|
syl |
|
13 |
10 12
|
mpbiri |
|
14 |
2 13
|
ffvelrnd |
|
15 |
14
|
elpwid |
|
16 |
|
velpw |
|
17 |
16 3
|
sylan2b |
|
18 |
17
|
ralrimiva |
|
19 |
|
id |
|
20 |
|
fveq2 |
|
21 |
19 20
|
sseq12d |
|
22 |
21
|
rspcva |
|
23 |
13 18 22
|
syl2anc |
|
24 |
15 23
|
eqssd |
|
25 |
2
|
ffnd |
|
26 |
|
fnelfp |
|
27 |
25 13 26
|
syl2anc |
|
28 |
24 27
|
mpbird |
|
29 |
|
simp2 |
|
30 |
9
|
3ad2ant1 |
|
31 |
29 30
|
sstrd |
|
32 |
|
simp3 |
|
33 |
|
intssuni2 |
|
34 |
31 32 33
|
syl2anc |
|
35 |
|
unipw |
|
36 |
34 35
|
sseqtrdi |
|
37 |
|
intex |
|
38 |
|
elpwg |
|
39 |
37 38
|
sylbi |
|
40 |
39
|
3ad2ant3 |
|
41 |
36 40
|
mpbird |
|
42 |
41
|
adantr |
|
43 |
4
|
3expib |
|
44 |
43
|
alrimiv |
|
45 |
44
|
3ad2ant1 |
|
46 |
45
|
adantr |
|
47 |
31
|
sselda |
|
48 |
47
|
elpwid |
|
49 |
|
intss1 |
|
50 |
49
|
adantl |
|
51 |
48 50
|
jca |
|
52 |
|
sseq1 |
|
53 |
52
|
anbi2d |
|
54 |
|
fveq2 |
|
55 |
54
|
sseq1d |
|
56 |
53 55
|
imbi12d |
|
57 |
56
|
spcgv |
|
58 |
42 46 51 57
|
syl3c |
|
59 |
29
|
sselda |
|
60 |
25
|
3ad2ant1 |
|
61 |
60
|
adantr |
|
62 |
|
fnelfp |
|
63 |
61 47 62
|
syl2anc |
|
64 |
59 63
|
mpbid |
|
65 |
58 64
|
sseqtrd |
|
66 |
65
|
ralrimiva |
|
67 |
|
ssint |
|
68 |
66 67
|
sylibr |
|
69 |
18
|
3ad2ant1 |
|
70 |
|
id |
|
71 |
|
fveq2 |
|
72 |
70 71
|
sseq12d |
|
73 |
72
|
rspcva |
|
74 |
41 69 73
|
syl2anc |
|
75 |
68 74
|
eqssd |
|
76 |
|
fnelfp |
|
77 |
60 41 76
|
syl2anc |
|
78 |
75 77
|
mpbird |
|
79 |
9 28 78
|
ismred |
|