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Step * of Lemma lattice-extend-wc_wf

∀[T:Type]. ∀[eq:EqDecider(T)]. ∀[Cs:T ⟶ fset(fset(T))]. ∀[L:BoundedDistributiveLattice]. ∀[eqL:EqDecider(Point(L))].
∀[f:T ⟶ Point(L)]. ∀[ac:Point(free-dist-lattice-with-constraints(T;eq;x.Cs[x]))].
  (lattice-extend-wc(L;eq;eqL;f;ac) ∈ Point(L))
BY
{ ProveWfLemma }

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Latex:

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Latex:
\mforall{}[T:Type].  \mforall{}[eq:EqDecider(T)].  \mforall{}[Cs:T  {}\mrightarrow{}  fset(fset(T))].  \mforall{}[L:BoundedDistributiveLattice].
\mforall{}[eqL:EqDecider(Point(L))].  \mforall{}[f:T  {}\mrightarrow{}  Point(L)].
\mforall{}[ac:Point(free-dist-lattice-with-constraints(T;eq;x.Cs[x]))].
    (lattice-extend-wc(L;eq;eqL;f;ac)  \mmember{}  Point(L))


By

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Latex:
ProveWfLemma

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