Step |
Hyp |
Ref |
Expression |
1 |
|
isgbe |
|
2 |
|
oddprmuzge3 |
|
3 |
2
|
ancoms |
|
4 |
|
oddprmuzge3 |
|
5 |
4
|
ancoms |
|
6 |
|
eluz2 |
|
7 |
|
eluz2 |
|
8 |
|
zre |
|
9 |
|
zre |
|
10 |
|
3re |
|
11 |
10 10
|
pm3.2i |
|
12 |
|
pm3.22 |
|
13 |
|
le2add |
|
14 |
11 12 13
|
sylancr |
|
15 |
14
|
ancomsd |
|
16 |
|
3p3e6 |
|
17 |
16
|
breq1i |
|
18 |
|
5lt6 |
|
19 |
|
5re |
|
20 |
19
|
a1i |
|
21 |
|
6re |
|
22 |
21
|
a1i |
|
23 |
|
readdcl |
|
24 |
23
|
ancoms |
|
25 |
|
ltletr |
|
26 |
20 22 24 25
|
syl3anc |
|
27 |
18 26
|
mpani |
|
28 |
17 27
|
syl5bi |
|
29 |
15 28
|
syld |
|
30 |
8 9 29
|
syl2an |
|
31 |
30
|
ex |
|
32 |
31
|
adantl |
|
33 |
32
|
com23 |
|
34 |
33
|
exp4b |
|
35 |
34
|
3imp |
|
36 |
35
|
com13 |
|
37 |
36
|
imp |
|
38 |
37
|
3adant1 |
|
39 |
7 38
|
syl5bi |
|
40 |
6 39
|
sylbi |
|
41 |
40
|
imp |
|
42 |
3 5 41
|
syl2an |
|
43 |
42
|
an4s |
|
44 |
43
|
ex |
|
45 |
44
|
3adant3 |
|
46 |
45
|
impcom |
|
47 |
|
breq2 |
|
48 |
47
|
3ad2ant3 |
|
49 |
48
|
adantl |
|
50 |
46 49
|
mpbird |
|
51 |
50
|
ex |
|
52 |
51
|
a1i |
|
53 |
52
|
rexlimdvv |
|
54 |
53
|
imp |
|
55 |
1 54
|
sylbi |
|