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Step * 2 1 of Lemma free-dist-lattice-adjunction


1. ∀Y:Type. (Point(free-dl(Y)) ~ free-dl-type(Y))
2. ∀Y:Type. ∀y:Y.  (free-dl-generator(y) ∈ Point(free-dl(Y)))
3. G : cat-ob(BddDistributiveLattice)
⊢ G ∈ LatticeStructure
BY
{ (RepUR ``cat-ob distributive-lattice-cat mk-cat`` (-1) THEN Auto)⋅ }

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Latex:

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Latex:

1.  \mforall{}Y:Type.  (Point(free-dl(Y))  \msim{}  free-dl-type(Y))
2.  \mforall{}Y:Type.  \mforall{}y:Y.    (free-dl-generator(y)  \mmember{}  Point(free-dl(Y)))
3.  G  :  cat-ob(BddDistributiveLattice)
\mvdash{}  G  \mmember{}  LatticeStructure


By

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Latex:
(RepUR  ``cat-ob  distributive-lattice-cat  mk-cat``  (-1)  THEN  Auto)\mcdot{}

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