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Step * 1 1 1 1 1 1 1 3 of Lemma alpha-rename-equivalent

.....antecedent..... 
1. v : varname()
2. bnds : varname() List
⊢ ∀F:{v@0:varname()| (v@0 ∈ [])}  ⟶ varname()
    ((v ∈ []) ⇒ Inj({v@0:varname()| (v@0 ∈ [])} ;varname();F) ⇒ (↑same-binding(map(F;[]);[];F v;v)))
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Latex:

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Latex:
.....antecedent..... 
1.  v  :  varname()
2.  bnds  :  varname()  List
\mvdash{}  \mforall{}F:\{v@0:varname()|  (v@0  \mmember{}  [])\}    {}\mrightarrow{}  varname()
        ((v  \mmember{}  [])  {}\mRightarrow{}  Inj(\{v@0:varname()|  (v@0  \mmember{}  [])\}  ;varname();F)  {}\mRightarrow{}  (\muparrow{}same-binding(map(F;[]);[];F  v;v)\000C))


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