Description: Angles imply inequality. (Contributed by Thierry Arnoux, 1-Aug-2020)
Ref | Expression | ||
---|---|---|---|
Hypotheses | iscgra.p | |
|
iscgra.i | |
||
iscgra.k | |
||
iscgra.g | |
||
iscgra.a | |
||
iscgra.b | |
||
iscgra.c | |
||
iscgra.d | |
||
iscgra.e | |
||
iscgra.f | |
||
cgrahl1.2 | |
||
Assertion | cgrane2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | iscgra.p | |
|
2 | iscgra.i | |
|
3 | iscgra.k | |
|
4 | iscgra.g | |
|
5 | iscgra.a | |
|
6 | iscgra.b | |
|
7 | iscgra.c | |
|
8 | iscgra.d | |
|
9 | iscgra.e | |
|
10 | iscgra.f | |
|
11 | cgrahl1.2 | |
|
12 | eqid | |
|
13 | 4 | ad3antrrr | |
14 | 9 | ad3antrrr | |
15 | simplr | |
|
16 | 6 | ad3antrrr | |
17 | 7 | ad3antrrr | |
18 | eqid | |
|
19 | 5 | ad3antrrr | |
20 | simpllr | |
|
21 | simpr1 | |
|
22 | 1 12 2 18 13 19 16 17 20 14 15 21 | cgr3simp2 | |
23 | 22 | eqcomd | |
24 | 10 | ad3antrrr | |
25 | simpr3 | |
|
26 | 1 2 3 15 24 14 13 25 | hlne1 | |
27 | 26 | necomd | |
28 | 1 12 2 13 14 15 16 17 23 27 | tgcgrneq | |
29 | 1 2 3 4 5 6 7 8 9 10 | iscgra | |
30 | 11 29 | mpbid | |
31 | 28 30 | r19.29vva | |