Step
*
1
of Lemma
swap-names_wf
1. I : Cname List
2. z1 : nameset(I)
3. z2 : nameset(I)
⊢ λx.if eq-cname(x;z1) then z2
if eq-cname(x;z2) then z1
else x
fi ∈ nameset(I) ⟶ extd-nameset(I)
BY
{ Auto }
Latex:
Latex:
1. I : Cname List
2. z1 : nameset(I)
3. z2 : nameset(I)
\mvdash{} \mlambda{}x.if eq-cname(x;z1) then z2
if eq-cname(x;z2) then z1
else x
fi \mmember{} nameset(I) {}\mrightarrow{} extd-nameset(I)
By
Latex:
Auto
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