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:  Q and: P ∧ Q
Definitions occuring in definition :  all: x:A. B[x] geo-point: Point implies:  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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