Step |
Hyp |
Ref |
Expression |
1 |
|
pwssplit1.y |
|
2 |
|
pwssplit1.z |
|
3 |
|
pwssplit1.b |
|
4 |
|
pwssplit1.c |
|
5 |
|
pwssplit1.f |
|
6 |
1 2 3 4 5
|
pwssplit0 |
|
7 |
|
simp1 |
|
8 |
|
simp2 |
|
9 |
|
simp3 |
|
10 |
8 9
|
ssexd |
|
11 |
|
eqid |
|
12 |
2 11 4
|
pwselbasb |
|
13 |
7 10 12
|
syl2anc |
|
14 |
13
|
biimpa |
|
15 |
|
fvex |
|
16 |
15
|
fconst |
|
17 |
16
|
a1i |
|
18 |
|
simpl1 |
|
19 |
|
eqid |
|
20 |
11 19
|
mndidcl |
|
21 |
18 20
|
syl |
|
22 |
21
|
snssd |
|
23 |
17 22
|
fssd |
|
24 |
|
disjdif |
|
25 |
24
|
a1i |
|
26 |
|
fun |
|
27 |
14 23 25 26
|
syl21anc |
|
28 |
|
simpl3 |
|
29 |
|
undif |
|
30 |
28 29
|
sylib |
|
31 |
|
unidm |
|
32 |
31
|
a1i |
|
33 |
30 32
|
feq23d |
|
34 |
27 33
|
mpbid |
|
35 |
|
simpl2 |
|
36 |
1 11 3
|
pwselbasb |
|
37 |
18 35 36
|
syl2anc |
|
38 |
34 37
|
mpbird |
|
39 |
5
|
fvtresfn |
|
40 |
38 39
|
syl |
|
41 |
|
resundir |
|
42 |
|
ffn |
|
43 |
|
fnresdm |
|
44 |
14 42 43
|
3syl |
|
45 |
|
incom |
|
46 |
45 24
|
eqtri |
|
47 |
|
fnconstg |
|
48 |
15 47
|
ax-mp |
|
49 |
|
fnresdisj |
|
50 |
48 49
|
mp1i |
|
51 |
46 50
|
mpbii |
|
52 |
44 51
|
uneq12d |
|
53 |
41 52
|
syl5eq |
|
54 |
|
un0 |
|
55 |
53 54
|
eqtrdi |
|
56 |
40 55
|
eqtr2d |
|
57 |
|
fveq2 |
|
58 |
57
|
rspceeqv |
|
59 |
38 56 58
|
syl2anc |
|
60 |
59
|
ralrimiva |
|
61 |
|
dffo3 |
|
62 |
6 60 61
|
sylanbrc |
|