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Step * 1 1 1 1 of Lemma free-dma-hom-is-lattice-hom


1. v : BoundedLatticeStructure@i'
2. F : Top@i
⊢ v["neg" := F] ∈ BoundedLatticeStructure
BY
{ ((DRecord 1 THENA Auto)
   THEN RepUR ``mk-bounded-lattice bounded-lattice-structure`` 0
   THEN RepeatFor 5 ((RecordPlusTypeCD THEN Reduce 0 THEN Try (Trivial)))
   THEN RepUR ``record record-update`` 0
   THEN Auto) }

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Latex:

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Latex:

1.  v  :  BoundedLatticeStructure@i'
2.  F  :  Top@i
\mvdash{}  v["neg"  :=  F]  \mmember{}  BoundedLatticeStructure


By

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Latex:
((DRecord  1  THENA  Auto)
  THEN  RepUR  ``mk-bounded-lattice  bounded-lattice-structure``  0
  THEN  RepeatFor  5  ((RecordPlusTypeCD  THEN  Reduce  0  THEN  Try  (Trivial)))
  THEN  RepUR  ``record  record-update``  0
  THEN  Auto)

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