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
Home
Index