Nuprl Definition : geo-general-position
geo-general-position(g;xs) ==  ∀k:ℕ||xs||. ∀j:ℕk. ∀i:ℕj.  xs[k] # xs[i]xs[j]
Definitions occuring in Statement : 
geo-lsep: a # bc, 
select: L[n], 
length: ||as||, 
int_seg: {i..j-}, 
all: ∀x:A. B[x], 
natural_number: $n
Definitions occuring in definition : 
length: ||as||, 
all: ∀x:A. B[x], 
int_seg: {i..j-}, 
natural_number: $n, 
geo-lsep: a # bc, 
select: L[n]
FDL editor aliases : 
geo-general-position
Latex:
geo-general-position(g;xs)  ==    \mforall{}k:\mBbbN{}||xs||.  \mforall{}j:\mBbbN{}k.  \mforall{}i:\mBbbN{}j.    xs[k]  \#  xs[i]xs[j]
Date html generated:
2017_10_02-PM-06_50_28
Last ObjectModification:
2017_08_06-PM-07_30_25
Theory : euclidean!plane!geometry
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