Step |
Hyp |
Ref |
Expression |
1 |
|
sticksstones3.1 |
|
2 |
|
sticksstones3.2 |
|
3 |
|
sticksstones3.3 |
|
4 |
|
sticksstones3.4 |
|
5 |
|
sticksstones3.5 |
|
6 |
1 2 3 4 5
|
sticksstones2 |
|
7 |
|
df-f1 |
|
8 |
7
|
biimpi |
|
9 |
8
|
simpld |
|
10 |
6 9
|
syl |
|
11 |
3
|
eleq2i |
|
12 |
11
|
biimpi |
|
13 |
12
|
adantl |
|
14 |
|
fveqeq2 |
|
15 |
14
|
elrab |
|
16 |
13 15
|
sylib |
|
17 |
16
|
simpld |
|
18 |
17
|
elpwid |
|
19 |
18
|
sseld |
|
20 |
19
|
imp |
|
21 |
20
|
3impa |
|
22 |
|
elfznn |
|
23 |
21 22
|
syl |
|
24 |
23
|
nnred |
|
25 |
24
|
3expa |
|
26 |
25
|
ex |
|
27 |
26
|
ssrdv |
|
28 |
|
ltso |
|
29 |
|
soss |
|
30 |
28 29
|
mpi |
|
31 |
27 30
|
syl |
|
32 |
|
fzfid |
|
33 |
32 18
|
ssfid |
|
34 |
|
fz1iso |
|
35 |
31 33 34
|
syl2anc |
|
36 |
|
df-isom |
|
37 |
36
|
biimpi |
|
38 |
37
|
3ad2ant3 |
|
39 |
38
|
simpld |
|
40 |
16
|
simprd |
|
41 |
|
oveq2 |
|
42 |
41
|
f1oeq2d |
|
43 |
40 42
|
syl |
|
44 |
43
|
biimpd |
|
45 |
44
|
3adant3 |
|
46 |
39 45
|
mpd |
|
47 |
|
f1of |
|
48 |
46 47
|
syl |
|
49 |
48
|
ffnd |
|
50 |
|
ovexd |
|
51 |
49 50
|
fnexd |
|
52 |
18
|
3adant3 |
|
53 |
|
fss |
|
54 |
48 52 53
|
syl2anc |
|
55 |
38
|
simprd |
|
56 |
|
biimp |
|
57 |
56
|
a1i |
|
58 |
57
|
ralimdva |
|
59 |
58
|
ralimdva |
|
60 |
55 59
|
mpd |
|
61 |
40
|
adantr |
|
62 |
61
|
3impa |
|
63 |
62
|
oveq2d |
|
64 |
63
|
raleqdv |
|
65 |
64
|
adantr |
|
66 |
63 65
|
raleqbidva |
|
67 |
60 66
|
mpbid |
|
68 |
54 67
|
jca |
|
69 |
|
feq1 |
|
70 |
|
fveq1 |
|
71 |
|
fveq1 |
|
72 |
70 71
|
breq12d |
|
73 |
72
|
imbi2d |
|
74 |
73
|
2ralbidv |
|
75 |
69 74
|
anbi12d |
|
76 |
51 68 75
|
elabd |
|
77 |
4
|
eleq2i |
|
78 |
76 77
|
sylibr |
|
79 |
5
|
a1i |
|
80 |
|
simpr |
|
81 |
80
|
rneqd |
|
82 |
|
simpr |
|
83 |
|
rnexg |
|
84 |
82 83
|
syl |
|
85 |
79 81 82 84
|
fvmptd |
|
86 |
85
|
ex |
|
87 |
86
|
3ad2ant1 |
|
88 |
78 87
|
mpd |
|
89 |
|
dff1o2 |
|
90 |
89
|
biimpi |
|
91 |
90
|
simp3d |
|
92 |
46 91
|
syl |
|
93 |
88 92
|
eqtrd |
|
94 |
93
|
eqcomd |
|
95 |
78 94
|
jca |
|
96 |
95
|
3expa |
|
97 |
96
|
ex |
|
98 |
97
|
eximdv |
|
99 |
35 98
|
mpd |
|
100 |
|
df-rex |
|
101 |
99 100
|
sylibr |
|
102 |
101
|
ralrimiva |
|
103 |
10 102
|
jca |
|
104 |
|
dffo3 |
|
105 |
104
|
a1i |
|
106 |
103 105
|
mpbird |
|