Description: Angle congruence is independent of the choice of points on the rays. Proposition 11.10 of Schwabhauser p. 95. (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 | |
||
cgrahl1.x | |
||
cgrahl1.1 | |
||
Assertion | cgrahl1 | |
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 | cgrahl1.x | |
|
13 | cgrahl1.1 | |
|
14 | 4 | ad3antrrr | |
15 | 5 | ad3antrrr | |
16 | 6 | ad3antrrr | |
17 | 7 | ad3antrrr | |
18 | 12 | ad3antrrr | |
19 | 9 | ad3antrrr | |
20 | 10 | ad3antrrr | |
21 | simpllr | |
|
22 | simplr | |
|
23 | simpr1 | |
|
24 | 8 | ad3antrrr | |
25 | simpr2 | |
|
26 | 13 | ad3antrrr | |
27 | 1 2 3 18 24 19 14 26 | hlcomd | |
28 | 1 2 3 21 24 18 14 19 25 27 | hltr | |
29 | simpr3 | |
|
30 | 1 2 3 14 15 16 17 18 19 20 21 22 23 28 29 | iscgrad | |
31 | 1 2 3 4 5 6 7 8 9 10 | iscgra | |
32 | 11 31 | mpbid | |
33 | 30 32 | r19.29vva | |