Nuprl Lemma : geo-SS_wf

[g:EuclideanPlaneStructure]. ∀[a,b:Point]. ∀[u:{u:Point| leftof ab} ]. ∀[v:{v:Point| leftof ba} ].
  (geo-SS(g;a;b;u;v) ∈ {x:Point| Colinear(a;b;x) ∧ B(uxv)} )


Proof

Error : references

Latex:
\mforall{}[g:EuclideanPlaneStructure].  \mforall{}[a,b:Point].  \mforall{}[u:\{u:Point|  u  leftof  ab\}  ].
\mforall{}[v:\{v:Point|  v  leftof  ba\}  ].
    (geo-SS(g;a;b;u;v)  \mmember{}  \{x:Point|  Colinear(a;b;x)  \mwedge{}  B(uxv)\}  )



Date html generated: 2020_05_21-AM-10_24_52
Last ObjectModification: 2019_12_03-AM-09_53_22

Theory : euclidean!plane!geometry


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