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Step * 1 of Lemma dM-hom-basis

.....assertion..... 
1. I : fset(ℕ)
2. x : fset(fset(names(I) + names(I)))
3. ↑fset-antichain(union-deq(names(I);names(I);NamesDeq;NamesDeq);x)
4. x = \/(λs./\(λx.free-dl-inc(x)"(s))"(x)) ∈ Point(dM(I))
5. l : BoundedLattice
6. eq : EqDecider(Point(l))
7. h : Hom(dM(I);l)
8. (h x) = (h \/(λs./\(λx.free-dl-inc(x)"(s))"(x))) ∈ Point(l)
⊢ h ∈ Hom(free-DeMorgan-lattice(names(I);NamesDeq);l)
BY
{ All Thin }

1
1. I : fset(ℕ)
2. l : BoundedLattice
3. h : Hom(dM(I);l)
⊢ h ∈ Hom(free-DeMorgan-lattice(names(I);NamesDeq);l)

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Latex:

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Latex:
.....assertion..... 
1.  I  :  fset(\mBbbN{})
2.  x  :  fset(fset(names(I)  +  names(I)))
3.  \muparrow{}fset-antichain(union-deq(names(I);names(I);NamesDeq;NamesDeq);x)
4.  x  =  \mbackslash{}/(\mlambda{}s./\mbackslash{}(\mlambda{}x.free-dl-inc(x)"(s))"(x))
5.  l  :  BoundedLattice
6.  eq  :  EqDecider(Point(l))
7.  h  :  Hom(dM(I);l)
8.  (h  x)  =  (h  \mbackslash{}/(\mlambda{}s./\mbackslash{}(\mlambda{}x.free-dl-inc(x)"(s))"(x)))
\mvdash{}  h  \mmember{}  Hom(free-DeMorgan-lattice(names(I);NamesDeq);l)


By

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Latex:
All  Thin

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