Step |
Hyp |
Ref |
Expression |
1 |
|
oveq2 |
|
2 |
1
|
oveq2d |
|
3 |
|
fveq2 |
|
4 |
2 3
|
eleq12d |
|
5 |
|
ssid |
|
6 |
|
ovex |
|
7 |
|
zex |
|
8 |
6 7
|
constmap |
|
9 |
8
|
rgen |
|
10 |
|
vex |
|
11 |
7 10
|
elmap |
|
12 |
|
ffvelrn |
|
13 |
11 12
|
sylanb |
|
14 |
13
|
ancoms |
|
15 |
14
|
fmpttd |
|
16 |
7 6
|
elmap |
|
17 |
15 16
|
sylibr |
|
18 |
17
|
rgen |
|
19 |
9 18
|
pm3.2i |
|
20 |
|
zaddcl |
|
21 |
20
|
adantl |
|
22 |
|
simpl |
|
23 |
|
simpr |
|
24 |
|
ovexd |
|
25 |
|
inidm |
|
26 |
21 22 23 24 24 25
|
off |
|
27 |
|
zmulcl |
|
28 |
27
|
adantl |
|
29 |
28 22 23 24 24 25
|
off |
|
30 |
26 29
|
jca |
|
31 |
7 6
|
elmap |
|
32 |
7 6
|
elmap |
|
33 |
31 32
|
anbi12i |
|
34 |
7 6
|
elmap |
|
35 |
7 6
|
elmap |
|
36 |
34 35
|
anbi12i |
|
37 |
30 33 36
|
3imtr4i |
|
38 |
37
|
rgen2 |
|
39 |
19 38
|
pm3.2i |
|
40 |
|
elmzpcl |
|
41 |
10 40
|
ax-mp |
|
42 |
5 39 41
|
mpbir2an |
|
43 |
4 42
|
vtoclg |
|