Step |
Hyp |
Ref |
Expression |
1 |
|
1rp |
|
2 |
1
|
ne0ii |
|
3 |
|
r19.2z |
|
4 |
2 3
|
mpan |
|
5 |
|
simprl |
|
6 |
|
mblss |
|
7 |
6
|
adantr |
|
8 |
5 7
|
sstrd |
|
9 |
8
|
rexlimiva |
|
10 |
9
|
rexlimivw |
|
11 |
4 10
|
syl |
|
12 |
|
inss1 |
|
13 |
|
elpwi |
|
14 |
13
|
adantr |
|
15 |
|
simpr |
|
16 |
|
ovolsscl |
|
17 |
12 14 15 16
|
mp3an2i |
|
18 |
|
difssd |
|
19 |
|
ovolsscl |
|
20 |
18 14 15 19
|
syl3anc |
|
21 |
17 20
|
readdcld |
|
22 |
21
|
ad2antrr |
|
23 |
15
|
ad2antrr |
|
24 |
|
difssd |
|
25 |
7
|
adantl |
|
26 |
|
rpre |
|
27 |
26
|
ad2antlr |
|
28 |
|
simprrr |
|
29 |
|
ovollecl |
|
30 |
25 27 28 29
|
syl3anc |
|
31 |
|
ovolsscl |
|
32 |
24 25 30 31
|
syl3anc |
|
33 |
23 32
|
readdcld |
|
34 |
23 27
|
readdcld |
|
35 |
17
|
ad2antrr |
|
36 |
20
|
ad2antrr |
|
37 |
|
inss1 |
|
38 |
14
|
ad2antrr |
|
39 |
|
ovolsscl |
|
40 |
37 38 23 39
|
mp3an2i |
|
41 |
|
difssd |
|
42 |
|
ovolsscl |
|
43 |
41 38 23 42
|
syl3anc |
|
44 |
43 32
|
readdcld |
|
45 |
|
simprrl |
|
46 |
|
sslin |
|
47 |
45 46
|
syl |
|
48 |
37 38
|
sstrid |
|
49 |
|
ovolss |
|
50 |
47 48 49
|
syl2anc |
|
51 |
38
|
ssdifssd |
|
52 |
25
|
ssdifssd |
|
53 |
51 52
|
unssd |
|
54 |
|
ovolun |
|
55 |
51 43 52 32 54
|
syl22anc |
|
56 |
|
ovollecl |
|
57 |
53 44 55 56
|
syl3anc |
|
58 |
|
ssun1 |
|
59 |
|
undif1 |
|
60 |
58 59
|
sseqtrri |
|
61 |
|
ssdif |
|
62 |
60 61
|
ax-mp |
|
63 |
|
difundir |
|
64 |
62 63
|
sseqtri |
|
65 |
|
difun1 |
|
66 |
|
ssequn2 |
|
67 |
45 66
|
sylib |
|
68 |
67
|
difeq2d |
|
69 |
65 68
|
syl5eqr |
|
70 |
69
|
uneq1d |
|
71 |
64 70
|
sseqtrid |
|
72 |
|
ovolss |
|
73 |
71 53 72
|
syl2anc |
|
74 |
36 57 44 73 55
|
letrd |
|
75 |
35 36 40 44 50 74
|
le2addd |
|
76 |
|
simprl |
|
77 |
|
mblsplit |
|
78 |
76 38 23 77
|
syl3anc |
|
79 |
78
|
oveq1d |
|
80 |
40
|
recnd |
|
81 |
43
|
recnd |
|
82 |
32
|
recnd |
|
83 |
80 81 82
|
addassd |
|
84 |
79 83
|
eqtrd |
|
85 |
75 84
|
breqtrrd |
|
86 |
|
difss |
|
87 |
|
ovolss |
|
88 |
86 25 87
|
sylancr |
|
89 |
32 30 27 88 28
|
letrd |
|
90 |
32 27 23 89
|
leadd2dd |
|
91 |
22 33 34 85 90
|
letrd |
|
92 |
91
|
rexlimdvaa |
|
93 |
92
|
ralimdva |
|
94 |
93
|
impcom |
|
95 |
21
|
adantl |
|
96 |
95
|
rexrd |
|
97 |
|
simprr |
|
98 |
|
xralrple |
|
99 |
96 97 98
|
syl2anc |
|
100 |
94 99
|
mpbird |
|
101 |
100
|
expr |
|
102 |
101
|
ralrimiva |
|
103 |
|
ismbl2 |
|
104 |
11 102 103
|
sylanbrc |
|