Step * 1 of Lemma vs-add-cancel


1. Rng
2. vs VectorSpace(K)
3. Point(vs)
4. Point(vs)
5. Point(vs)
6. z ∈ Point(vs)
⊢ y ∈ Point(vs)
BY
(ApFunToHypEquands `Z' ⌜-(z)⌝ ⌜Point(vs)⌝ 6⋅ THENA Auto) }

1
1. Rng
2. vs VectorSpace(K)
3. Point(vs)
4. Point(vs)
5. Point(vs)
6. z ∈ Point(vs)
7. -(z) -(z) ∈ Point(vs)
⊢ y ∈ Point(vs)


Latex:


Latex:

1.  K  :  Rng
2.  vs  :  VectorSpace(K)
3.  x  :  Point(vs)
4.  y  :  Point(vs)
5.  z  :  Point(vs)
6.  x  +  z  =  y  +  z
\mvdash{}  x  =  y


By


Latex:
(ApFunToHypEquands  `Z'  \mkleeneopen{}Z  +  -(z)\mkleeneclose{}  \mkleeneopen{}Point(vs)\mkleeneclose{}  6\mcdot{}  THENA  Auto)




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