Step |
Hyp |
Ref |
Expression |
1 |
|
mthmb.r |
|
2 |
|
mthmb.u |
|
3 |
|
eqid |
|
4 |
1 3 2
|
mthmval |
|
5 |
4
|
eleq2i |
|
6 |
|
eqid |
|
7 |
6 1
|
msrf |
|
8 |
|
ffn |
|
9 |
7 8
|
ax-mp |
|
10 |
|
elpreima |
|
11 |
9 10
|
ax-mp |
|
12 |
5 11
|
bitri |
|
13 |
|
eleq1 |
|
14 |
|
ffun |
|
15 |
7 14
|
ax-mp |
|
16 |
|
fvelima |
|
17 |
15 16
|
mpan |
|
18 |
1 3 2
|
mthmi |
|
19 |
18
|
rexlimiva |
|
20 |
17 19
|
syl |
|
21 |
13 20
|
syl6bi |
|
22 |
21
|
adantld |
|
23 |
12 22
|
syl5bi |
|