Step * of Lemma eu-add-length-assoc

[e:EuclideanPlane]. ∀[x,y,z:{p:Point| O_X_p} ].  (x z ∈ {p:Point| O_X_p} )
BY
(Auto THEN EqTypeCD THEN Auto) }

1
1. EuclideanPlane
2. {p:Point| O_X_p} 
3. {p:Point| O_X_p} 
4. {p:Point| O_X_p} 
⊢ z ∈ Point

2
.....set predicate..... 
1. EuclideanPlane
2. {p:Point| O_X_p} 
3. {p:Point| O_X_p} 
4. {p:Point| O_X_p} 
⊢ O_X_x z


Latex:


Latex:
\mforall{}[e:EuclideanPlane].  \mforall{}[x,y,z:\{p:Point|  O\_X\_p\}  ].    (x  +  y  +  z  =  x  +  y  +  z)


By


Latex:
(Auto  THEN  EqTypeCD  THEN  Auto)




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