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Step * 1 of Lemma new-name-property


1. I : fset(ℕ)
⊢ ¬new-name(I) ∈ I
BY
{ (GenConclTerm ⌜new-name(I)⌝⋅ THENA Auto) }

1
1. I : fset(ℕ)
2. v : {i:ℕ| ¬i ∈ I} 
3. new-name(I) = v ∈ {i:ℕ| ¬i ∈ I} 
⊢ ¬v ∈ I

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Latex:

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Latex:

1.  I  :  fset(\mBbbN{})
\mvdash{}  \mneg{}new-name(I)  \mmember{}  I


By

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Latex:
(GenConclTerm  \mkleeneopen{}new-name(I)\mkleeneclose{}\mcdot{}  THENA  Auto)

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