Step * of Lemma eu-add-length-between-iff

e:EuclideanPlane. ∀[a,b,c:Point].  uiff(a_b_c;|ac| |ab| |bc| ∈ {p:Point| O_X_p} )
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1
1. EuclideanPlane
2. Point
3. Point
4. Point
5. a_b_c
⊢ |ac| |ab| |bc| ∈ {p:Point| O_X_p} 

2
1. EuclideanPlane
2. [a] Point
3. [b] Point
4. [c] Point
5. |ac| |ab| |bc| ∈ {p:Point| O_X_p} 
⊢ a_b_c


Latex:


Latex:
\mforall{}e:EuclideanPlane.  \mforall{}[a,b,c:Point].    uiff(a\_b\_c;|ac|  =  |ab|  +  |bc|)


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Latex:
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