Description: Exchange the first endpoint in betweenness. Left-hand side of Theorem 3.6 of Schwabhauser p. 30. (Contributed by Thierry Arnoux, 18-Mar-2019)
Ref | Expression | ||
---|---|---|---|
Hypotheses | tkgeom.p | |
|
tkgeom.d | |
||
tkgeom.i | |
||
tkgeom.g | |
||
tgbtwnintr.1 | |
||
tgbtwnintr.2 | |
||
tgbtwnintr.3 | |
||
tgbtwnintr.4 | |
||
tgbtwnexch3.5 | |
||
tgbtwnexch3.6 | |
||
Assertion | tgbtwnexch3 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tkgeom.p | |
|
2 | tkgeom.d | |
|
3 | tkgeom.i | |
|
4 | tkgeom.g | |
|
5 | tgbtwnintr.1 | |
|
6 | tgbtwnintr.2 | |
|
7 | tgbtwnintr.3 | |
|
8 | tgbtwnintr.4 | |
|
9 | tgbtwnexch3.5 | |
|
10 | tgbtwnexch3.6 | |
|
11 | 1 2 3 4 5 6 7 9 | tgbtwncom | |
12 | 1 2 3 4 5 7 8 10 | tgbtwncom | |
13 | 1 2 3 4 6 7 8 5 11 12 | tgbtwnintr | |