Metamath Proof Explorer


Definition df-outsideof

Description: The outside of relationship. This relationship expresses that P , A , and B fall on a line, but P is not on the segment A B . This definition is taken from theorem 6.4 of Schwabhauser p. 43, since it requires no dummy variables. (Contributed by Scott Fenton, 17-Oct-2013)

Ref Expression
Assertion df-outsideof
|- OutsideOf = ( Colinear \ Btwn )

Detailed syntax breakdown

Step Hyp Ref Expression
0 coutsideof
 |-  OutsideOf
1 ccolin
 |-  Colinear
2 cbtwn
 |-  Btwn
3 1 2 cdif
 |-  ( Colinear \ Btwn )
4 0 3 wceq
 |-  OutsideOf = ( Colinear \ Btwn )