Step |
Hyp |
Ref |
Expression |
1 |
|
df-finxp |
|
2 |
1
|
csbeq2i |
|
3 |
|
sbcan |
|
4 |
|
sbcel1g |
|
5 |
|
sbceq2g |
|
6 |
|
csbfv12 |
|
7 |
|
csbrdgg |
|
8 |
|
csbmpo123 |
|
9 |
|
csbconstg |
|
10 |
|
csbconstg |
|
11 |
|
csbif |
|
12 |
|
sbcan |
|
13 |
|
sbcg |
|
14 |
|
sbcel12 |
|
15 |
|
csbconstg |
|
16 |
15
|
eleq1d |
|
17 |
14 16
|
syl5bb |
|
18 |
13 17
|
anbi12d |
|
19 |
12 18
|
syl5bb |
|
20 |
|
csbconstg |
|
21 |
|
csbif |
|
22 |
|
sbcel12 |
|
23 |
|
csbxp |
|
24 |
10
|
xpeq1d |
|
25 |
23 24
|
syl5eq |
|
26 |
15 25
|
eleq12d |
|
27 |
22 26
|
syl5bb |
|
28 |
|
csbconstg |
|
29 |
|
csbconstg |
|
30 |
27 28 29
|
ifbieq12d |
|
31 |
21 30
|
syl5eq |
|
32 |
19 20 31
|
ifbieq12d |
|
33 |
11 32
|
syl5eq |
|
34 |
9 10 33
|
mpoeq123dv |
|
35 |
8 34
|
eqtrd |
|
36 |
|
csbopg |
|
37 |
|
csbconstg |
|
38 |
37
|
opeq2d |
|
39 |
36 38
|
eqtrd |
|
40 |
|
rdgeq12 |
|
41 |
35 39 40
|
syl2anc |
|
42 |
7 41
|
eqtrd |
|
43 |
42
|
fveq1d |
|
44 |
6 43
|
syl5eq |
|
45 |
44
|
eqeq2d |
|
46 |
5 45
|
bitrd |
|
47 |
4 46
|
anbi12d |
|
48 |
3 47
|
syl5bb |
|
49 |
48
|
abbidv |
|
50 |
|
csbab |
|
51 |
|
df-finxp |
|
52 |
49 50 51
|
3eqtr4g |
|
53 |
2 52
|
syl5eq |
|