Nuprl Definition : geo-lt
p < q ==  ∃a,b:Point. (a ≠ b ∧ p + |ab| ≤ q)
Definitions occuring in Statement : 
geo-add-length: p + q, 
geo-le: p ≤ q, 
geo-length: |s|, 
geo-mk-seg: ab, 
geo-sep: a ≠ b, 
geo-point: Point, 
exists: ∃x:A. B[x], 
and: P ∧ Q
Definitions occuring in definition : 
exists: ∃x:A. B[x], 
geo-point: Point, 
and: P ∧ Q, 
geo-sep: a ≠ b, 
geo-le: p ≤ q, 
geo-add-length: p + q, 
geo-length: |s|, 
geo-mk-seg: ab
FDL editor aliases : 
geo-lt
geo-lt
Latex:
p  <  q  ==    \mexists{}a,b:Point.  (a  \mneq{}  b  \mwedge{}  p  +  |ab|  \mleq{}  q)
 Date html generated: 
2017_10_02-PM-06_18_38
 Last ObjectModification: 
2017_08_05-PM-04_13_16
Theory : euclidean!plane!geometry
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