Step |
Hyp |
Ref |
Expression |
1 |
|
mgcoval.1 |
|
2 |
|
mgcoval.2 |
|
3 |
|
mgcoval.3 |
|
4 |
|
mgcoval.4 |
Could not format .c_ = ( le ` W ) : No typesetting found for |- .c_ = ( le ` W ) with typecode |- |
5 |
|
mgcval.1 |
Could not format H = ( V MGalConn W ) : No typesetting found for |- H = ( V MGalConn W ) with typecode |- |
6 |
|
mgcval.2 |
|
7 |
|
mgcval.3 |
|
8 |
|
mgccole.1 |
|
9 |
|
mgcmntco.1 |
|
10 |
|
mgcmntco.2 |
|
11 |
|
mgcmntco.3 |
|
12 |
|
mgcmntco.4 |
Could not format ( ph -> K e. ( V Monot X ) ) : No typesetting found for |- ( ph -> K e. ( V Monot X ) ) with typecode |- |
13 |
|
mgcmntco.5 |
Could not format ( ph -> L e. ( W Monot X ) ) : No typesetting found for |- ( ph -> L e. ( W Monot X ) ) with typecode |- |
14 |
11
|
ad2antrr |
|
15 |
1 9
|
mntf |
Could not format ( ( V e. Proset /\ X e. Proset /\ K e. ( V Monot X ) ) -> K : A --> C ) : No typesetting found for |- ( ( V e. Proset /\ X e. Proset /\ K e. ( V Monot X ) ) -> K : A --> C ) with typecode |- |
16 |
6 11 12 15
|
syl3anc |
|
17 |
16
|
ad2antrr |
|
18 |
1 2 3 4 5 6 7 8
|
mgcf2 |
|
19 |
18
|
adantr |
|
20 |
19
|
ffvelrnda |
|
21 |
17 20
|
ffvelrnd |
|
22 |
2 9
|
mntf |
Could not format ( ( W e. Proset /\ X e. Proset /\ L e. ( W Monot X ) ) -> L : B --> C ) : No typesetting found for |- ( ( W e. Proset /\ X e. Proset /\ L e. ( W Monot X ) ) -> L : B --> C ) with typecode |- |
23 |
7 11 13 22
|
syl3anc |
|
24 |
23
|
ad2antrr |
|
25 |
1 2 3 4 5 6 7 8
|
mgcf1 |
|
26 |
25
|
ad2antrr |
|
27 |
26 20
|
ffvelrnd |
|
28 |
24 27
|
ffvelrnd |
|
29 |
23
|
adantr |
|
30 |
29
|
ffvelrnda |
|
31 |
18
|
ffvelrnda |
|
32 |
|
fveq2 |
|
33 |
|
2fveq3 |
|
34 |
32 33
|
breq12d |
|
35 |
34
|
adantl |
|
36 |
31 35
|
rspcdv |
|
37 |
36
|
imp |
|
38 |
37
|
an32s |
|
39 |
7
|
ad2antrr |
|
40 |
13
|
ad2antrr |
Could not format ( ( ( ph /\ A. x e. A ( K ` x ) .< ( L ` ( F ` x ) ) ) /\ y e. B ) -> L e. ( W Monot X ) ) : No typesetting found for |- ( ( ( ph /\ A. x e. A ( K ` x ) .< ( L ` ( F ` x ) ) ) /\ y e. B ) -> L e. ( W Monot X ) ) with typecode |- |
41 |
|
simpr |
|
42 |
6
|
ad2antrr |
|
43 |
8
|
ad2antrr |
|
44 |
1 2 3 4 5 42 39 43 41
|
mgccole2 |
Could not format ( ( ( ph /\ A. x e. A ( K ` x ) .< ( L ` ( F ` x ) ) ) /\ y e. B ) -> ( F ` ( G ` y ) ) .c_ y ) : No typesetting found for |- ( ( ( ph /\ A. x e. A ( K ` x ) .< ( L ` ( F ` x ) ) ) /\ y e. B ) -> ( F ` ( G ` y ) ) .c_ y ) with typecode |- |
45 |
2 9 4 10 39 14 40 27 41 44
|
ismntd |
|
46 |
9 10
|
prstr |
|
47 |
14 21 28 30 38 45 46
|
syl132anc |
|
48 |
47
|
ralrimiva |
|
49 |
11
|
ad2antrr |
|
50 |
16
|
ad2antrr |
|
51 |
|
simpr |
|
52 |
50 51
|
ffvelrnd |
|
53 |
18
|
ad2antrr |
|
54 |
25
|
adantr |
|
55 |
54
|
ffvelrnda |
|
56 |
53 55
|
ffvelrnd |
|
57 |
50 56
|
ffvelrnd |
|
58 |
23
|
ad2antrr |
|
59 |
58 55
|
ffvelrnd |
|
60 |
6
|
ad2antrr |
|
61 |
12
|
ad2antrr |
Could not format ( ( ( ph /\ A. y e. B ( K ` ( G ` y ) ) .< ( L ` y ) ) /\ x e. A ) -> K e. ( V Monot X ) ) : No typesetting found for |- ( ( ( ph /\ A. y e. B ( K ` ( G ` y ) ) .< ( L ` y ) ) /\ x e. A ) -> K e. ( V Monot X ) ) with typecode |- |
62 |
7
|
ad2antrr |
|
63 |
8
|
ad2antrr |
|
64 |
1 2 3 4 5 60 62 63 51
|
mgccole1 |
|
65 |
1 9 3 10 60 49 61 51 56 64
|
ismntd |
|
66 |
25
|
ffvelrnda |
|
67 |
|
2fveq3 |
|
68 |
|
fveq2 |
|
69 |
67 68
|
breq12d |
|
70 |
69
|
adantl |
|
71 |
66 70
|
rspcdv |
|
72 |
71
|
imp |
|
73 |
72
|
an32s |
|
74 |
9 10
|
prstr |
|
75 |
49 52 57 59 65 73 74
|
syl132anc |
|
76 |
75
|
ralrimiva |
|
77 |
48 76
|
impbida |
|