Nuprl Definition : geo-convex
IsConvex(x.P[x]) ==  ∀x,y,z:Point.  (x_y_z 
⇒ P[x] 
⇒ P[z] 
⇒ P[y])
Definitions occuring in Statement : 
geo-between: a_b_c
, 
geo-point: Point
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
Definitions occuring in definition : 
all: ∀x:A. B[x]
, 
geo-point: Point
, 
geo-between: a_b_c
, 
implies: P 
⇒ Q
FDL editor aliases : 
geo-convex
Latex:
IsConvex(x.P[x])  ==    \mforall{}x,y,z:Point.    (x\_y\_z  {}\mRightarrow{}  P[x]  {}\mRightarrow{}  P[z]  {}\mRightarrow{}  P[y])
Date html generated:
2017_10_02-PM-06_48_45
Last ObjectModification:
2017_08_06-PM-07_28_28
Theory : euclidean!plane!geometry
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