Step |
Hyp |
Ref |
Expression |
1 |
|
elrest |
|
2 |
|
elrest |
|
3 |
1 2
|
anbi12d |
|
4 |
|
reeanv |
|
5 |
3 4
|
bitr4di |
|
6 |
|
simplll |
|
7 |
|
simplrl |
|
8 |
|
simplrr |
|
9 |
|
simpr |
|
10 |
9
|
elin1d |
|
11 |
|
basis2 |
|
12 |
6 7 8 10 11
|
syl22anc |
|
13 |
|
simplll |
|
14 |
13
|
simpld |
|
15 |
13
|
simprd |
|
16 |
|
simprl |
|
17 |
|
elrestr |
|
18 |
14 15 16 17
|
syl3anc |
|
19 |
|
simprrl |
|
20 |
|
simplr |
|
21 |
20
|
elin2d |
|
22 |
19 21
|
elind |
|
23 |
|
simprrr |
|
24 |
23
|
ssrind |
|
25 |
|
eleq2 |
|
26 |
|
sseq1 |
|
27 |
25 26
|
anbi12d |
|
28 |
27
|
rspcev |
|
29 |
18 22 24 28
|
syl12anc |
|
30 |
12 29
|
rexlimddv |
|
31 |
30
|
ralrimiva |
|
32 |
|
ineq12 |
|
33 |
|
inindir |
|
34 |
32 33
|
eqtr4di |
|
35 |
34
|
sseq2d |
|
36 |
35
|
anbi2d |
|
37 |
36
|
rexbidv |
|
38 |
34 37
|
raleqbidv |
|
39 |
31 38
|
syl5ibrcom |
|
40 |
39
|
rexlimdvva |
|
41 |
5 40
|
sylbid |
|
42 |
41
|
ralrimivv |
|
43 |
|
ovex |
|
44 |
|
isbasis2g |
|
45 |
43 44
|
ax-mp |
|
46 |
42 45
|
sylibr |
|
47 |
|
relxp |
|
48 |
|
restfn |
|
49 |
|
fndm |
|
50 |
48 49
|
ax-mp |
|
51 |
50
|
releqi |
|
52 |
47 51
|
mpbir |
|
53 |
52
|
ovprc2 |
|
54 |
53
|
adantl |
|
55 |
|
fi0 |
|
56 |
|
fibas |
|
57 |
55 56
|
eqeltrri |
|
58 |
54 57
|
eqeltrdi |
|
59 |
46 58
|
pm2.61dan |
|