Step |
Hyp |
Ref |
Expression |
1 |
|
helsh |
|
2 |
|
shocel |
|
3 |
1 2
|
ax-mp |
|
4 |
3
|
simprbi |
|
5 |
|
shocss |
|
6 |
1 5
|
ax-mp |
|
7 |
6
|
sseli |
|
8 |
|
hial0 |
|
9 |
7 8
|
syl |
|
10 |
4 9
|
mpbid |
|
11 |
|
elch0 |
|
12 |
10 11
|
sylibr |
|
13 |
12
|
ssriv |
|
14 |
|
h0elsh |
|
15 |
|
shococss |
|
16 |
14 15
|
ax-mp |
|
17 |
|
choc0 |
|
18 |
17
|
fveq2i |
|
19 |
16 18
|
sseqtri |
|
20 |
13 19
|
eqssi |
|