Step * of Lemma geo-add-length-implies-eq2

[e:BasicGeometry]. ∀[x:Length]. ∀[a,b:Point].  a ≡ supposing |ab| |ab| ∈ Length
BY
(Auto THEN (FLemma `geo-add-length-implies-eq-zero` [-1] THENA Auto)) }

1
1. BasicGeometry
2. Length
3. Point
4. Point
5. |ab| |ab| ∈ Length
6. |ab| |ab| 0 ∈ Length
⊢ a ≡ b


Latex:


Latex:
\mforall{}[e:BasicGeometry].  \mforall{}[x:Length].  \mforall{}[a,b:Point].    a  \mequiv{}  b  supposing  x  =  x  +  |ab|  +  |ab|


By


Latex:
(Auto  THEN  (FLemma  `geo-add-length-implies-eq-zero`  [-1]  THENA  Auto))




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