Step |
Hyp |
Ref |
Expression |
1 |
|
velsn |
|
2 |
|
eqimss |
|
3 |
2
|
pm4.71ri |
|
4 |
1 3
|
bitri |
|
5 |
4
|
a1i |
|
6 |
|
simpl |
|
7 |
|
eqid |
|
8 |
|
eqsbc3 |
|
9 |
7 8
|
mpbiri |
|
10 |
9
|
adantr |
|
11 |
|
simpr |
|
12 |
11
|
necomd |
|
13 |
12
|
neneqd |
|
14 |
|
0ex |
|
15 |
|
eqsbc3 |
|
16 |
14 15
|
ax-mp |
|
17 |
13 16
|
sylnibr |
|
18 |
|
sseq1 |
|
19 |
18
|
anbi2d |
|
20 |
|
eqss |
|
21 |
20
|
biimpri |
|
22 |
19 21
|
syl6bi |
|
23 |
22
|
com12 |
|
24 |
23
|
3adant1 |
|
25 |
|
sbcid |
|
26 |
|
eqsbc3 |
|
27 |
26
|
elv |
|
28 |
24 25 27
|
3imtr4g |
|
29 |
|
ineq12 |
|
30 |
|
inidm |
|
31 |
29 30
|
eqtrdi |
|
32 |
27 25 31
|
syl2anb |
|
33 |
|
vex |
|
34 |
33
|
inex1 |
|
35 |
|
eqsbc3 |
|
36 |
34 35
|
ax-mp |
|
37 |
32 36
|
sylibr |
|
38 |
37
|
a1i |
|
39 |
5 6 10 17 28 38
|
isfild |
|