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 )