Description: Part of proof of Lemma E in Crawley p. 113. F is a lattice translation. TODO: fix comment. (Contributed by NM, 10-Apr-2013)
Ref | Expression | ||
---|---|---|---|
Hypotheses | cdlemef50.b | |
|
cdlemef50.l | |
||
cdlemef50.j | |
||
cdlemef50.m | |
||
cdlemef50.a | |
||
cdlemef50.h | |
||
cdlemef50.u | |
||
cdlemef50.d | |
||
cdlemefs50.e | |
||
cdlemef50.f | |
||
cdleme50ltrn.t | |
||
Assertion | cdleme50ltrn | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cdlemef50.b | |
|
2 | cdlemef50.l | |
|
3 | cdlemef50.j | |
|
4 | cdlemef50.m | |
|
5 | cdlemef50.a | |
|
6 | cdlemef50.h | |
|
7 | cdlemef50.u | |
|
8 | cdlemef50.d | |
|
9 | cdlemefs50.e | |
|
10 | cdlemef50.f | |
|
11 | cdleme50ltrn.t | |
|
12 | eqid | |
|
13 | 1 2 3 4 5 6 7 8 9 10 12 | cdleme50ldil | |
14 | simp1 | |
|
15 | simp2l | |
|
16 | simp3l | |
|
17 | 1 2 3 4 5 6 7 8 9 10 | cdleme50trn123 | |
18 | 14 15 16 17 | syl12anc | |
19 | simp2r | |
|
20 | simp3r | |
|
21 | 1 2 3 4 5 6 7 8 9 10 | cdleme50trn123 | |
22 | 14 19 20 21 | syl12anc | |
23 | 18 22 | eqtr4d | |
24 | 23 | 3exp | |
25 | 24 | ralrimivv | |
26 | 2 3 4 5 6 12 11 | isltrn | |
27 | 26 | 3ad2ant1 | |
28 | 13 25 27 | mpbir2and | |