Description: Contrapositive of the ordered triple theorem. (Contributed by Scott Fenton, 21-Aug-2024)
Ref | Expression | ||
---|---|---|---|
Hypotheses | otthne.1 | ||
otthne.2 | |||
otthne.3 | |||
Assertion | otthne |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | otthne.1 | ||
2 | otthne.2 | ||
3 | otthne.3 | ||
4 | 1 2 | opthne | |
5 | 4 | orbi1i | |
6 | opex | ||
7 | 6 3 | opthne | |
8 | df-3or | ||
9 | 5 7 8 | 3bitr4i |