Nuprl Definition : geo-opp-side
P-AB-Q ==  (¬(∀T:Point. (P_T_Q 
⇒ (¬Colinear(A;B;T))))) ∧ (¬Colinear(A;B;P)) ∧ (¬Colinear(A;B;Q))
Definitions occuring in Statement : 
geo-colinear: Colinear(a;b;c)
, 
geo-between: a_b_c
, 
geo-point: Point
, 
all: ∀x:A. B[x]
, 
not: ¬A
, 
implies: P 
⇒ Q
, 
and: P ∧ Q
Definitions occuring in definition : 
all: ∀x:A. B[x]
, 
geo-point: Point
, 
implies: P 
⇒ Q
, 
geo-between: a_b_c
, 
and: P ∧ Q
, 
not: ¬A
, 
geo-colinear: Colinear(a;b;c)
FDL editor aliases : 
geo-opp-side
geo-opp-side
Latex:
P-AB-Q  ==    (\mneg{}(\mforall{}T:Point.  (P\_T\_Q  {}\mRightarrow{}  (\mneg{}Colinear(A;B;T)))))  \mwedge{}  (\mneg{}Colinear(A;B;P))  \mwedge{}  (\mneg{}Colinear(A;B;Q))
Date html generated:
2017_10_02-PM-06_21_23
Last ObjectModification:
2017_08_05-PM-04_15_54
Theory : euclidean!plane!geometry
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