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Step * 2 of Lemma face_lattice-fset-join-eq-1


1. I : fset(ℕ)
2. \/({}) = 1 ∈ Point(face_lattice(I))
⊢ ∃x:Point(face_lattice(I)). (x ∈ {} ∧ (x = 1 ∈ Point(face_lattice(I))))
BY
{ ((Assert ¬(0 = 1 ∈ Point(face_lattice(I))) BY Auto) THEN RepUR ``lattice-fset-join empty-fset`` -2 THEN Auto) }

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Latex:

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Latex:

1.  I  :  fset(\mBbbN{})
2.  \mbackslash{}/(\{\})  =  1
\mvdash{}  \mexists{}x:Point(face\_lattice(I)).  (x  \mmember{}  \{\}  \mwedge{}  (x  =  1))


By

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Latex:
((Assert  \mneg{}(0  =  1)  BY  Auto)  THEN  RepUR  ``lattice-fset-join  empty-fset``  -2  THEN  Auto)

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