Description: Lemma for prodrb . (Contributed by Scott Fenton, 4-Dec-2017)
Ref | Expression | ||
---|---|---|---|
Hypotheses | prodmo.1 | |
|
prodmo.2 | |
||
prodrb.4 | |
||
prodrb.5 | |
||
prodrb.6 | |
||
prodrb.7 | |
||
Assertion | prodrblem2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | prodmo.1 | |
|
2 | prodmo.2 | |
|
3 | prodrb.4 | |
|
4 | prodrb.5 | |
|
5 | prodrb.6 | |
|
6 | prodrb.7 | |
|
7 | 4 | adantr | |
8 | seqex | |
|
9 | climres | |
|
10 | 7 8 9 | sylancl | |
11 | 2 | adantlr | |
12 | simpr | |
|
13 | 1 11 12 | prodrblem | |
14 | 6 13 | mpidan | |
15 | 14 | breq1d | |
16 | 10 15 | bitr3d | |