Step |
Hyp |
Ref |
Expression |
1 |
|
rngcrescrhm.u |
|
2 |
|
rngcrescrhm.c |
|
3 |
|
rngcrescrhm.r |
|
4 |
|
rngcrescrhm.h |
|
5 |
3
|
eleq2d |
|
6 |
|
elinel1 |
|
7 |
5 6
|
syl6bi |
|
8 |
7
|
imp |
|
9 |
|
eqid |
|
10 |
9
|
idrhm |
|
11 |
8 10
|
syl |
|
12 |
|
eqid |
|
13 |
2
|
eqcomi |
|
14 |
13
|
fveq2i |
|
15 |
1
|
adantr |
|
16 |
|
incom |
|
17 |
|
ringssrng |
|
18 |
|
sslin |
|
19 |
17 18
|
mp1i |
|
20 |
16 19
|
eqsstrid |
|
21 |
2 12 1
|
rngcbas |
|
22 |
20 3 21
|
3sstr4d |
|
23 |
22
|
sselda |
|
24 |
2 12 14 15 23 9
|
rngcid |
|
25 |
1 2 3 4
|
rhmsubclem2 |
|
26 |
25
|
3anidm23 |
|
27 |
11 24 26
|
3eltr4d |
|