Step * of Lemma geo-add-length-property2

g:EuclideanPlane. ∀s:geo-segment(g). ∀c,d:Point.  cd ≅ |s||s| |cd|
BY
(Auto THEN (GenConcl ⌜|s| p ∈ {p:Point| O_X_p} ⌝⋅ THENA Auto) THEN ThinVar `s') }

1
1. EuclideanPlane
2. Point
3. Point
4. {p:Point| O_X_p} 
⊢ cd ≅ pp |cd|


Latex:


Latex:
\mforall{}g:EuclideanPlane.  \mforall{}s:geo-segment(g).  \mforall{}c,d:Point.    cd  \mcong{}  |s||s|  +  |cd|


By


Latex:
(Auto  THEN  (GenConcl  \mkleeneopen{}|s|  =  p\mkleeneclose{}\mcdot{}  THENA  Auto)  THEN  ThinVar  `s')




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