Description: Part of proof of Lemma J of Crawley p. 118. Eliminate p . (Contributed by NM, 20-Jun-2013)
Ref | Expression | ||
---|---|---|---|
Hypotheses | cdlemj.b | |
|
cdlemj.h | |
||
cdlemj.t | |
||
cdlemj.r | |
||
cdlemj.e | |
||
Assertion | cdlemj2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cdlemj.b | |
|
2 | cdlemj.h | |
|
3 | cdlemj.t | |
|
4 | cdlemj.r | |
|
5 | cdlemj.e | |
|
6 | simpl1 | |
|
7 | simpl2 | |
|
8 | simpl3l | |
|
9 | simpl3r | |
|
10 | simpr | |
|
11 | eqid | |
|
12 | eqid | |
|
13 | 1 2 3 4 5 11 12 | cdlemj1 | |
14 | 6 7 8 9 10 13 | syl113anc | |
15 | 14 | exp32 | |
16 | 15 | ralrimiv | |
17 | simp11 | |
|
18 | simp121 | |
|
19 | simp133 | |
|
20 | 2 3 5 | tendocl | |
21 | 17 18 19 20 | syl3anc | |
22 | simp122 | |
|
23 | 2 3 5 | tendocl | |
24 | 17 22 19 23 | syl3anc | |
25 | 11 12 2 3 | ltrneq | |
26 | 17 21 24 25 | syl3anc | |
27 | 16 26 | mpbid | |