Description: Lemma 2 for rhmsubc . (Contributed by AV, 2-Mar-2020)
Ref | Expression | ||
---|---|---|---|
Hypotheses | rngcrescrhm.u | |
|
rngcrescrhm.c | |
||
rngcrescrhm.r | |
||
rngcrescrhm.h | |
||
Assertion | rhmsubclem2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rngcrescrhm.u | |
|
2 | rngcrescrhm.c | |
|
3 | rngcrescrhm.r | |
|
4 | rngcrescrhm.h | |
|
5 | opelxpi | |
|
6 | 5 | 3adant1 | |
7 | 6 | fvresd | |
8 | df-ov | |
|
9 | 4 | fveq1i | |
10 | 8 9 | eqtri | |
11 | df-ov | |
|
12 | 7 10 11 | 3eqtr4g | |