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Step * of Lemma equal-iff-vs-subtract-is-0

∀[K:Rng]. ∀[vs:VectorSpace(K)]. ∀[x,y:Point(vs)].  (x = y ∈ Point(vs) ⇐⇒ (x - y) = 0 ∈ Point(vs))
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1
1. K : Rng
2. vs : VectorSpace(K)
3. x : Point(vs)
4. y : Point(vs)
5. (x - y) = 0 ∈ Point(vs)
⊢ x = y ∈ Point(vs)

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Latex:

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Latex:
\mforall{}[K:Rng].  \mforall{}[vs:VectorSpace(K)].  \mforall{}[x,y:Point(vs)].    (x  =  y  \mLeftarrow{}{}\mRightarrow{}  (x  -  y)  =  0)


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Latex:
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