Step * 1 2 of Lemma dM-basis


1. fset(ℕ)
2. Point(dM(I))
3. ∀[x:Point(dM(I))]. (x \/(λs./\(λx.free-dl-inc(x)"(s))"(x)) ∈ Point(dM(I)))
⊢ \/(λs./\(λx.free-dl-inc(x)"(s))"(x)) ∈ Point(dM(I))
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Latex:


Latex:

1.  I  :  fset(\mBbbN{})
2.  x  :  Point(dM(I))
3.  \mforall{}[x:Point(dM(I))].  (x  =  \mbackslash{}/(\mlambda{}s./\mbackslash{}(\mlambda{}x.free-dl-inc(x)"(s))"(x)))
\mvdash{}  x  =  \mbackslash{}/(\mlambda{}s./\mbackslash{}(\mlambda{}x.free-dl-inc(x)"(s))"(x))


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Latex:
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