Step |
Hyp |
Ref |
Expression |
1 |
|
frgrncvvdeq.v1 |
|
2 |
|
frgrncvvdeq.e |
|
3 |
|
frgrncvvdeq.nx |
|
4 |
|
frgrncvvdeq.ny |
|
5 |
|
frgrncvvdeq.x |
|
6 |
|
frgrncvvdeq.y |
|
7 |
|
frgrncvvdeq.ne |
|
8 |
|
frgrncvvdeq.xy |
|
9 |
|
frgrncvvdeq.f |
|
10 |
|
frgrncvvdeq.a |
|
11 |
4
|
ineq2i |
|
12 |
9
|
adantr |
|
13 |
3
|
eleq2i |
|
14 |
1
|
nbgrisvtx |
|
15 |
14
|
a1i |
|
16 |
13 15
|
syl5bi |
|
17 |
16
|
imp |
|
18 |
6
|
adantr |
|
19 |
|
elnelne2 |
|
20 |
8 19
|
sylan2 |
|
21 |
20
|
ancoms |
|
22 |
17 18 21
|
3jca |
|
23 |
1 2
|
frcond3 |
|
24 |
12 22 23
|
sylc |
|
25 |
|
vex |
|
26 |
|
elinsn |
|
27 |
25 26
|
mpan |
|
28 |
|
frgrusgr |
|
29 |
2
|
nbusgreledg |
|
30 |
|
prcom |
|
31 |
30
|
eleq1i |
|
32 |
29 31
|
syl6bb |
|
33 |
32
|
biimpd |
|
34 |
9 28 33
|
3syl |
|
35 |
34
|
adantr |
|
36 |
35
|
com12 |
|
37 |
36
|
adantr |
|
38 |
37
|
imp |
|
39 |
4
|
eqcomi |
|
40 |
39
|
eleq2i |
|
41 |
40
|
biimpi |
|
42 |
41
|
adantl |
|
43 |
1 2 3 4 5 6 7 8 9 10
|
frgrncvvdeqlem2 |
|
44 |
|
preq2 |
|
45 |
44
|
eleq1d |
|
46 |
45
|
riota2 |
|
47 |
42 43 46
|
syl2an |
|
48 |
38 47
|
mpbid |
|
49 |
27 48
|
sylan |
|
50 |
49
|
eqcomd |
|
51 |
50
|
sneqd |
|
52 |
|
eqeq1 |
|
53 |
52
|
adantr |
|
54 |
51 53
|
mpbird |
|
55 |
54
|
ex |
|
56 |
55
|
rexlimivw |
|
57 |
24 56
|
mpcom |
|
58 |
11 57
|
syl5req |
|