Step |
Hyp |
Ref |
Expression |
1 |
|
simpl |
|
2 |
|
simp3 |
|
3 |
|
simp1 |
|
4 |
2 3
|
ifcld |
|
5 |
4
|
adantr |
|
6 |
|
elfzelz |
|
7 |
6
|
adantl |
|
8 |
4
|
zred |
|
9 |
8
|
adantr |
|
10 |
|
zre |
|
11 |
10
|
3ad2ant1 |
|
12 |
11
|
adantr |
|
13 |
6
|
zred |
|
14 |
13
|
adantl |
|
15 |
|
zre |
|
16 |
10 15
|
anim12i |
|
17 |
16
|
ancomd |
|
18 |
17
|
3adant2 |
|
19 |
18
|
adantr |
|
20 |
|
min2 |
|
21 |
19 20
|
syl |
|
22 |
|
elfzle1 |
|
23 |
22
|
adantl |
|
24 |
9 12 14 21 23
|
letrd |
|
25 |
|
eluz2 |
|
26 |
5 7 24 25
|
syl3anbrc |
|
27 |
|
simp2 |
|
28 |
27 2
|
ifcld |
|
29 |
28
|
adantr |
|
30 |
|
zre |
|
31 |
30
|
3ad2ant2 |
|
32 |
31
|
adantr |
|
33 |
28
|
zred |
|
34 |
33
|
adantr |
|
35 |
|
elfzle2 |
|
36 |
35
|
adantl |
|
37 |
30 15
|
anim12i |
|
38 |
37
|
3adant1 |
|
39 |
38
|
ancomd |
|
40 |
|
max2 |
|
41 |
39 40
|
syl |
|
42 |
41
|
adantr |
|
43 |
14 32 34 36 42
|
letrd |
|
44 |
|
eluz2 |
|
45 |
7 29 43 44
|
syl3anbrc |
|
46 |
|
elfzuzb |
|
47 |
26 45 46
|
sylanbrc |
|
48 |
47
|
ex |
|
49 |
48
|
ssrdv |
|
50 |
49
|
adantl |
|
51 |
1 50
|
sstrd |
|
52 |
4
|
adantl |
|
53 |
28
|
adantl |
|
54 |
2
|
adantl |
|
55 |
52 53 54
|
3jca |
|
56 |
16
|
3adant2 |
|
57 |
56
|
adantl |
|
58 |
57
|
ancomd |
|
59 |
|
min1 |
|
60 |
58 59
|
syl |
|
61 |
38
|
adantl |
|
62 |
61
|
ancomd |
|
63 |
|
max1 |
|
64 |
62 63
|
syl |
|
65 |
60 64
|
jca |
|
66 |
|
elfz2 |
|
67 |
55 65 66
|
sylanbrc |
|
68 |
67
|
snssd |
|
69 |
51 68
|
unssd |
|