Step |
Hyp |
Ref |
Expression |
1 |
|
istrkg.p |
|
2 |
|
istrkg.d |
|
3 |
|
istrkg.i |
|
4 |
|
2z |
|
5 |
|
uzid |
|
6 |
4 5
|
ax-mp |
|
7 |
1 2 3
|
istrkgld |
|
8 |
6 7
|
mpan2 |
|
9 |
|
r19.41v |
|
10 |
|
ancom |
|
11 |
10
|
rexbii |
|
12 |
|
ancom |
|
13 |
9 11 12
|
3bitr3ri |
|
14 |
13
|
exbii |
|
15 |
|
rexcom4 |
|
16 |
|
simpr |
|
17 |
16
|
reximi |
|
18 |
17
|
reximi |
|
19 |
18
|
adantl |
|
20 |
19
|
exlimiv |
|
21 |
20
|
adantl |
|
22 |
|
1ex |
|
23 |
|
vex |
|
24 |
22 23
|
f1osn |
|
25 |
|
f1of1 |
|
26 |
24 25
|
mp1i |
|
27 |
|
snssi |
|
28 |
|
f1ss |
|
29 |
26 27 28
|
syl2anc |
|
30 |
|
fzo12sn |
|
31 |
30
|
mpteq1i |
|
32 |
|
fmptsn |
|
33 |
22 23 32
|
mp2an |
|
34 |
31 33
|
eqtr4i |
|
35 |
34
|
a1i |
|
36 |
30
|
a1i |
|
37 |
|
eqidd |
|
38 |
35 36 37
|
f1eq123d |
|
39 |
38
|
mptru |
|
40 |
29 39
|
sylibr |
|
41 |
|
ral0 |
|
42 |
|
fzo0 |
|
43 |
42
|
raleqi |
|
44 |
41 43
|
mpbir |
|
45 |
44
|
jctl |
|
46 |
45
|
reximi |
|
47 |
46
|
reximi |
|
48 |
|
ovex |
|
49 |
48
|
mptex |
|
50 |
|
f1eq1 |
|
51 |
|
nfmpt1 |
|
52 |
51
|
nfeq2 |
|
53 |
|
nfv |
|
54 |
52 53
|
nfan |
|
55 |
|
simpll |
|
56 |
55
|
fveq1d |
|
57 |
56
|
oveq1d |
|
58 |
55
|
fveq1d |
|
59 |
58
|
oveq1d |
|
60 |
57 59
|
eqeq12d |
|
61 |
56
|
oveq1d |
|
62 |
58
|
oveq1d |
|
63 |
61 62
|
eqeq12d |
|
64 |
56
|
oveq1d |
|
65 |
58
|
oveq1d |
|
66 |
64 65
|
eqeq12d |
|
67 |
60 63 66
|
3anbi123d |
|
68 |
54 67
|
ralbida |
|
69 |
68
|
anbi1d |
|
70 |
69
|
2rexbidva |
|
71 |
50 70
|
anbi12d |
|
72 |
49 71
|
spcev |
|
73 |
40 47 72
|
syl2an |
|
74 |
21 73
|
impbida |
|
75 |
74
|
rexbiia |
|
76 |
14 15 75
|
3bitr2i |
|
77 |
8 76
|
bitrdi |
|