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Step * of Lemma lattice-extend_wf

∀[T:Type]. ∀[eq:EqDecider(T)]. ∀[L:BoundedDistributiveLattice]. ∀[eqL:EqDecider(Point(L))]. ∀[f:T ⟶ Point(L)].
∀[ac:Point(free-dist-lattice(T; eq))].
  (lattice-extend(L;eq;eqL;f;ac) ∈ Point(L))
BY
{ (Auto THEN (RWO "free-dl-point" (-1)⋅ THENA Auto) THEN D -1 THEN ProveWfLemma) }

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Latex:

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


By

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Latex:
(Auto  THEN  (RWO  "free-dl-point"  (-1)\mcdot{}  THENA  Auto)  THEN  D  -1  THEN  ProveWfLemma)

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