Step * 1 1 of Lemma mk-DeMorgan-algebra_wf


1. BoundedLatticeStructure
2. Point(L) ⟶ Point(L)
⊢ L["neg" := n] ∈ BoundedLatticeStructure
BY
((DRecord THENA Auto)
   THEN Unfold `bounded-lattice-structure` 0
   THEN RepeatFor ((RecordPlusTypeCD THEN Reduce THEN Try (Trivial)))
   THEN RepUR ``record record-update`` 0
   THEN Auto) }


Latex:


Latex:

1.  L  :  BoundedLatticeStructure
2.  n  :  Point(L)  {}\mrightarrow{}  Point(L)
\mvdash{}  L["neg"  :=  n]  \mmember{}  BoundedLatticeStructure


By


Latex:
((DRecord  1  THENA  Auto)
  THEN  Unfold  `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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