Step
*
of Lemma
fl-morph-fset-join
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∀[A,B:fset(ℕ)]. ∀[g:A ⟶ B]. ∀[x:fset(Point(face_lattice(B)))].  ((\/(x))<g> = \/(<g>"(x)) ∈ Point(face_lattice(A)))
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Latex:
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\mforall{}[A,B:fset(\mBbbN{})].  \mforall{}[g:A  {}\mrightarrow{}  B].  \mforall{}[x:fset(Point(face\_lattice(B)))].    ((\mbackslash{}/(x))<g>  =  \mbackslash{}/(<g>"(x)))
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