Metamath Proof Explorer
Description: Any point lies in a flat angle. (Contributed by Thierry Arnoux, 13-Feb-2023)
|
|
Ref |
Expression |
|
Hypotheses |
isinag.p |
|
|
|
isinag.i |
|
|
|
isinag.k |
|
|
|
isinag.x |
|
|
|
isinag.a |
|
|
|
isinag.b |
|
|
|
isinag.c |
|
|
|
inagflat.g |
|
|
|
inagflat.x |
|
|
|
inagflat.1 |
|
|
|
inagflat.2 |
|
|
|
inagflat.3 |
|
|
|
inagflat.4 |
|
|
Assertion |
inagflat |
|
Proof
Step |
Hyp |
Ref |
Expression |
1 |
|
isinag.p |
|
2 |
|
isinag.i |
|
3 |
|
isinag.k |
|
4 |
|
isinag.x |
|
5 |
|
isinag.a |
|
6 |
|
isinag.b |
|
7 |
|
isinag.c |
|
8 |
|
inagflat.g |
|
9 |
|
inagflat.x |
|
10 |
|
inagflat.1 |
|
11 |
|
inagflat.2 |
|
12 |
|
inagflat.3 |
|
13 |
|
inagflat.4 |
|
14 |
|
eqidd |
|
15 |
14
|
orcd |
|
16 |
1 2 3 4 5 6 7 8 6 10 11 12 13 15
|
isinagd |
|