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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