Nuprl Definition : geo-sep-line
geo-sep-line(e;a;b;c) ==  ∀z:Point. (Colinear(z;b;c) 
⇒ a ≠ z)
Definitions occuring in Statement : 
geo-colinear: Colinear(a;b;c)
, 
geo-sep: a ≠ b
, 
geo-point: Point
, 
all: ∀x:A. B[x]
, 
implies: P 
⇒ Q
Definitions occuring in definition : 
all: ∀x:A. B[x]
, 
geo-point: Point
, 
implies: P 
⇒ Q
, 
geo-colinear: Colinear(a;b;c)
, 
geo-sep: a ≠ b
FDL editor aliases : 
geo-sep-line
geo-sep-line
Latex:
geo-sep-line(e;a;b;c)  ==    \mforall{}z:Point.  (Colinear(z;b;c)  {}\mRightarrow{}  a  \mneq{}  z)
Date html generated:
2017_10_02-PM-06_22_24
Last ObjectModification:
2017_08_05-PM-04_16_43
Theory : euclidean!plane!geometry
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